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Mukai Shigeru  向井 茂

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… Alternative Names

向井 茂  ムカイ シゲル

MUKAI Shigeru  向井 茂

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Researcher Number 80115641
External Links
Affiliation (Current) 2025: 京都大学, 数理解析研究所, 特任教授
Affiliation (based on the past Project Information) *help 2022: 京都大学, 数理解析研究所, 特任教授
2019 – 2020: 京都大学, 数理解析研究所, 特任教授
2001 – 2018: KYOTO UNIVERCITY, Research Institute for Mathematical Sciences, Professor, 数理解析研究所, 教授
2011: 東京大学, 数理解析研究所, 教授
2008: Kyoto University, 数理解析・研究所, 教授 … More
2007: 京都大学, 大学院・数理解析研究所, 教授
2003: 名古屋大学, 大学院・多元数理科学研究科, 教授
2002 – 2003: 京都大学, 数理解析研究科, 教授
2002: 京都大学, 数理科学研究所, 教授
2000: 名古屋大学, 大学院・多元数理研究科, 教授
1996 – 2000: 名古屋大学, 大学院・多元数理学研究科, 教授
1995 – 2000: 名古屋大学, 大学院・多元数理科学研究科, 教授
1999: 名古屋大学, 大学院・多元数理科学研究所, 教授
1998: 名古屋大学, 大学院・数理科学研究科, 教授
1997 – 1998: 名古屋大学, 多元数理, 教授
1996 – 1997: Grad.School Polymath.Nagoya University Prof., 大学院多元数理科学研究科, 教授
1996: 名古屋大学, 大学院・多元数理科学研究科
1990 – 1994: 名古屋大学, 理学部, 教授 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra / Algebra / 代数学・幾何学
Except Principal Investigator
Algebra / Algebra / Geometry / 代数学・幾何学 / Geometry / 解析学
Keywords
Principal Investigator
K3曲面 / モジュライ / モジュライ空間 / Enriques曲面 / ベクトル束 / 代数幾何学 / アーベル曲面 / ファノ多様体 / Brill-Noether理論 / Mathieu群 … More / Verlinde公式 / 有界対称領域 / vector bundle / 代数学 / ルート系 / Hilbertの第14問題 / 高次元双有理幾何学 / 代数的ベクトル束 / エンリケス曲面 / 共形ブロック / アーベル多様体 / 周期写像 / アフィン代数幾何学 / クレモナ変換群 / K3 surface / fundamental domain / Hilbert's 14th problem / conformal block / Verlinde formula / invariant / moduli / 佐武のコンパクト化 / 正多面体群 / フーベル曲面 / テータ関数 / 佐武コンパクト化 / ラータ関数 / trisecant line公式 / 不変式論 / Hodeg予想 / 基本領域 / 不変式 / Horroch-Mumford / thete function / abelian surface / period map / louuded syumelric domain / geometric invariant theory / moduli space / トーラス埋込 / ホロックス・マンフォードベクトル式 / パンルベ方程式 / テ-タ関数 / Horrocks-Mumfordベクトル束 / ラ-タ関数 / 幾何学的不変式論 / real singularities / quantum group / Commutative Algebra / Combinatorics random matrix / nonlinear problems / CR geometry / Algebraic / 複素解析 / 過剰決定系 / 代数的組合論 / 非線形問題 / 可解モデル / 量子群 / 代数的組合せ論 / 実特異点 / 一量子群 / 可換代数 / ランダム行列 / 非線型問題 / CR幾何 / 代数的組せ論 / Calabi-Yau多様体 / CalabiYau多様体 / 算術的多様体 / クラスター代数 / カラビ・ヤウ多様体 / 離散群とコホモロジー次元 / 複素多様体の変形 / 力学的次数 / 直交型モジュラー多様体 / クレモナ変換 / 幾何学的群論 / アラケロフ幾何 / 表現論 / 複素力学系 / 複素幾何 / 井草4次超曲面 / 保型形式 / Torelli型定理 / Torelli定理 / Mordell-Weil格子 / 随伴軌道 / Dynkin図式 / Kummer曲面 / レベル階数双対性 / Hom概型 / Hilbert概型 / 代数曲面 / ヒルベルト概型 / フェアリンデ公式 / quiver / ヒルベルトの第14問題 / Abel曲面 / Castelnuovoの有理性判定定理 / cubic 4-fold / 有限群 / Mumford関係 / コホモロジー環 / グラスマン多様体 / 2次曲線束 / ベルヌーイ数 / Cayley-Sylvester公式 / 放物的ベクトル束 / Kac-Moody Lie代数 / 共形場理論 / カテゴリー / メタプレクティック表現 / ホッヂ予想 / フーリエ変換 / ヤコビ多様体 / 曲線 / カラビ・ヤオ多様体 / 対称空間 / カラビ-ヤオ多様体 / リ-マン面 … More
Except Principal Investigator
モジュライ空間 / K3曲面 / 保型形式 / 代数幾何学 / 代数多様体 / ベクトル束 / K3 surface / Calabi-Yau多様体 / モジュライ / Painleve方程式 / multiplicity / moduli space / flip / シンプレクティック多様体 / 端末特異点 / 極小モデル理論 / 代数学 / 特殊関数 / 表現論 / 微分ガロア理論 / パンルヴェ方程式 / エンリケス曲面 / flop / パンルベ方程式 / terminal singularity / 保型表現 / Painleve equations / Hodge理論 / 共形場理論 / Hodge theory / フリップ / 導来圏 / 解析的捩率 / 数論幾何学 / アーベル多様体 / カラビ・ヤウ多様体 / 代数幾何 / Groupoid / モノドロミー保存変形 / Del Pezzo曲面 / ファノ多様体 / 格子 / 特異点 / 極小モデル / 国際研究者交流 / Fano多様体 / 端射線 / derived category / elliptic structure / extremal neighborhood / symplectic variety / canonical divisor / Fano 3-fold / integral closure / tight closure / rational singularity / F-rational / regular / Hilbert-Kunz multiplicity / Painleve equation / 有理特異点 / Chow群 / Borcherds Φ-関数 / automorphic form / 非可換類体論 / Buchsbaum module / Linear CM module / Abelian variety / Galois representation / ヘッケ環 / ガロア表現 / 特殊多項式 / Calabi-Yau manifolds / Nevanlinna theory / 対数微分の補題 / 値分布論 / ベクトル束のモジュライ空間 / Calabi-Yau manifold / 量子コホモロジー / 正標数 / Algebraic Geometry / Fano variety / 基本群 / ホッジ理論 / ルート系 / BorcherdsΦ関数 / 混合ツイスターD加群 / ポアソン変形 / Qコニック束 / 因子収縮射 / ミラー対称性 / 量子コホモロジーとミラー対称性 / 相空間 / 可積分系 / 変形 / トーリック多様体 / 代数的サイクル / K3 曲面 / 格子理論 / 差分方程式 / リー擬群 / 形式群 / Kummer曲面 / Niemeier格子 / Mathieu群 / 自己同型群 / Baecklund変換 / モジュラス理論 / 帰納射影概型 / 場の量子論 / アフィン代数群 / マシュー群 / 微分形式 / モジュラス空間 / 国際情報交換 / 国際研究者交流(フランス、ハンガリー) / モジュライ理論 / Bridgeland安定性 / 量子コホモロジーとミラー 対称性 / Floer理論 / パンルヴェ型方程式 / Floer 理論 / リーマン・ヒルベルト対応 / 理論物理学 / 幾何学 / 数理物理 / シンプレティック多様体 / 数論多様体 / ゲージ理論 / 複素幾何学 / 微分幾何学 / 超ケーラー多様体 / シンプレクティック特異点 / アラケロフ幾何学 / 数理物理学 / Thomae公式 / Enriquies曲面 / ボルチャーズΦ-関数 / Calabi-Yau軌道体 / 対合付きK3曲面 / Borcherds積 / BCOV不変量 / partition function / discontinuous group / reflection group / matrix factorization / Lie algebra / primitive forms / 組み紐群 / Hook length formula / コクセター変換 / エータ関数 / 対数型微分形式 / エータ積 / 正規ウエイト系 / 対数的自由因子 / 無限次元リー環 / 三角圏 / 正規ウェイト系 / 極限集合 / 分配関数 / 不連続群 / 鏡映群 / 行列分解 / リー環 / 原始形式 / minimal model theory / complex symplectic variety / divisorial contraction / Terminal singularity / Q-conic bundle / Zariski分解 / 因子収縮写像 / general elephant予想 / 標準特異点 / b関数 / 対数的標準特異点 / シンプレクテイック特異点 / 乗数イデアル / 逆同伴 / del Pezzo曲面 / 複素シンプレクティック多様体 / フロップ / Lie pseudo-group / Elliptic Painleve equations / Differential Galois theory / 野海系 / Garmier系 / 微分Galois理論 / 楕円パンルベ方程式 / automorphic forms / Taniyama-Shimura conjecture / hyperbolic geometry / rigid geometry / non-abelian class field theory / Shumura variety / Leopoldt予想 / リジッド解析幾何学 / 双有理幾何学 / 谷山-志村予想 / 双曲幾何学 / リジッド幾何学 / 志村多様体 / character sam / character sheaf / representation / algebraic group / prehomogeneous vector sp. / 指標層 / 指標和 / 指標差 / 代数群 / 概均質ベクトル空間 / Moduli spaces of Vector Bundles / Okamoto-Painleve pairs / Gromov-Witten invariants / Homological Mirror Symmetry / Gopakumar-Vafa conjecture / BPS invariants / アファインワイル群 / 小平・スペンサー理論 / ラグランジアン / フレアーコホモロジー / Verlinde公式 / 弦双対性 / グロモフ・ウイッテン不変量 / 初期値空間 / 有理楕円曲面 / グロモフ-ウイッテン不変量 / カラビ-ヤウ多様体 / BPS不変量 / ホモロジーMirror対称性 / ケーラー錐 / Painleve微分方程式 / eliptic surface / Gorenstein singularity / Calabi-Yau 3-fold / cononical bundle / deformation theory / Calabi-Yau threefold / complex symplectic structure / monodromy / invariants / symplectic singularity / Representation Theory / Group Theory / Ring Theory / Number Theory / 解析数論 / 整数論 / 数論的幾何学 / 群論 / 環論 / 数論 / Cohen- Macaulay / 整閉包 / F-有理性 / Hilbert-Kunz重複度 / Cohen-Macaulay / Algebrait surface / Rational singular puint / Special polynomial / Young diagram / パーノルベ方程式 / 代数曲面 / ヤング図形 / logarithmic Torelli problem / higher Chow groups / Beilinson conjectures / mixed motives / higher Abel-Jaoci map / p-adic Hodge theory / higer class field theory / algebraic cycles / (8)Abelの定理 / (7)周期写像 / (6)K群 / (5)Torelli問題 / (4)特異点 / モチフィック・コホモロジー / 高次Abel-Jacobi写像 / Abelの定理の高次元化 / P-進Hodye理論 / Hodye理論 / モチーフ / 高次チャウ群 / ベイリンソン予想 / 混合モチーフ / 高次アーベル・ヤコビ写像 / ホッヂ理論 / P進ホッヂ理論 / 高次元類体論 / Symplectic Varieties / Vector Bundles / Canonical Rings / Algebraic Varieties / Torelli Problem / Invariant Functions / Compactifications of Moduli / Logarithmic Hodge Theory / 有理端曲線 / symplectic多様体 / 一般型多様体 / 周期写像 / 退化 / Log Hodge構造 / 特異シンプレクティック多様体 / 2次包 / 標準束公式 / 標準環 / Torelli問題 / 不変式 / モジュライのコンパクト化 / 対数的Hodge構造 / special function / G-structure / G構造 / infinite product / infinite dimensional algebra / analytic torsion / 複素双曲型空間 / Generalized Kac-Moody 代数 / 2-elementary K3 曲面 / Quillen計量 / 一般Kac-Moody代数 / 無限積 / 無限次元リー代数 / 解析的トーション / Iwasawa theory / automorphic representation / non-commutative class field theory / 岩沢主予想 / 岩沢加群 / 円分体 / 岩澤-Greenberg 予想 / 岩澤理論 / 岩沢理論 / Arithmetic subgroup / Del Pezzo surface / Complex ball / Curve / Automorphic forms / Moduli space / Enriques surface / 超球面 / 小平次元 / K3曲線 / 算術的部分群 / 複素ボール / 曲線 / homological degree / Linear Buchsbaum module / Linear Cohen-Macaulay module / B-model / mirror conjecture / abundance conjecture / minimal model / special Lagrangian / Hilbert scheme / Mirror対称 / Chern数 / A-モデル / アパンダンス予想 / モーデル・ヴェイユ格子 / B-モデル / カラビーヤウ多様体 / ミラー予想 / アバンダンス予想 / Radon transformation / integral geometry / Lemma on logauthmic derivative / Diophantine geometry / Weighted Scholev不等式 / 対称性 / hyper-Kahler構造 / Ricci-flat K“ahler計量 / ソボレフ不等式 / リッチフラットケーラー計量 / チェビシエフ不等式 / ディオファンタス幾何学 / ラドン変換 / 積分幾何学 / ディオファントス幾何学 / ネヴァンリンナ理論 / Computational geometry / Commutative algebra / Toric variety / Algebraic variety / Algebraic geometry / アインシュタイン計量 / グレーブナー基底 / カラビヤウ多様体 / モーデルベイユ格子 / 組合せ論 / 計算幾何 / 可換環 / Hecke algebra / Automorphic representation / 楕円曲線 / Grassman structure / third order ODE / twistor / involutive system / differential form / ツイスター構造 / グラスマン構造 / 3階の常微分方程式 / ツイスター / 包合系 / Baecklund transformations / Special polynomials / モノドロミ-保変形 / BaeckLund変換 / Painlev'e equations / Painleve'方程式 / Morsification / Canonical curves / K3 surfaces / Pluri-canonical forms / Algebraic varieties / Logarithmic geometry / 加群拡大の微分作用素による自明化 / スペクトル・エータ写像 / 標準曲面のAlbanese写像 / 半安定層の分類空間 / Brill-Noether軌跡と偏極K3曲面 / 藤田の自由性予想 / 単純特異点のMckay対応 / Log幾何とHodge構造の退化 / abel多様体の普遍族 / 小平エネルギー / Reidのflip予想 / Clifford指数 / 藤田の自由予想 / 部分コンパクト化 / Hodge構造の分類空間 / calabi-yau多様体 / 多重標準形成 / Log 幾何学 / Hodge 理論 / Morse化問題 / Lalabi-Yau多様体 / 標準曲線 / K_3曲面 / 多重標準形式 / Log幾何学 / adapted complex structure / Blaschke conjecture / weightel isoperimetric inequalty / Monge-Ampere equation / Riiu-flat Kahlir metrus / Weil funition / Diophuntine approximation / ジェット微分 / 接近関数 / Rothの定理 / 分岐個数関数 / Diophantine approximation / 正則曲線 / Monge-Ampere方程式 / Blaschke多様体 / Momge-Ampeve方程式 / 適合複素構造 / Beaschke多様体 / 重みつきの等周不等式 / Ricci-flatなKahler構造 / 第2主要予想 / ディオファントス近似論 / q-analog / arithmeticgeometry / pointed Riemannsurface / Calabi-Yaumanifold / conformalblock vector bundle / conformal field theory / 変形理論 / 楕円曲面 / 共形場ブロック / 閉リーマン面 / KZ方程式 / ゲージ対称性 / 単純リイ代数 / リーマン面のモジュライ空間 / 代数曲線 / 弦理論 / q類似 / 点付きリーマン面 / 共形場ブロックベクトル束 / Mordell-Weil lattice / polarigation / Hamming code / code / algebraic geemetry / 群スキーム / P進一意化 / ミラーシンメトリー / Golay符号 / p-進一意化 / 多項式 / Mordell-Weil格子 / 偏極 / Hamming符号 / 符号 / Moduli / Vector Bundle / Stable Sheaves / Conformal Field Theory / Kahler Manifold / Classification of Algebraic Varieties / Algebraic Variety / 放物束 / Hodge-理論 / 算術的代数多様体 / 代数様体 / 算術的代数幾何学 / 可換環論 / モデュライ理論 / 代数多様体の変形 / モデュライ / 安定層 / Kahler多様体 / 代数多様体の分類 / Teichmueller space / vector bundle / Calabi-Yau variety / Shafarevich map / Minimal model / 射影空間 / フェルリンデ公式 / タイヒミューラー空間 / カラビ・ヤオ多様体 / シャファレビッチ写像 / Non-linear Analysis / Information Science / Quantum Analysis / Algebraic Combinatories / Infinite Analysis / Mathematical Sciences / 特殊微分方程式 / 無限解析 / カオス / 散乱理論 / 非線形現象 / 無限次久力学系 / 基礎数理 / 情報数理 / 非線型解析 / 情報科学 / 量子解析学 / 代数的組合せ論 / 無限解析学 / 数理科学 / ドリーニュ・マルグランジュ格子 / 箙多様体 / ディリクレの単数定理 / 調和バンドル / 手鋸箙多様体 / ザリスキ分解 / 双有理幾何 / アラケロフ幾何 / 算術多様体 / 解析的捩率不変量 / 交叉コホモロジー群 / 半正定値 / 算術的力学系 / 複素幾何 / 代数 / K3曲面 / 数学 / マシュー・ムーンシャイン / 自己同型 / マシュームーンシャイン / アルゴリズム / 特異ファイバー / Qファノ多様体 / デュバル特異点 / Qデルペゾ束 / 端収縮射 / Du Val特異点 / 一般象予想 / 極小モデルプログラム / 特異点解消 / Du Val 特異点 / 反標準線形系 / フリップ収縮射 / Q コニック束 / 複素力学系 / 高次元代数多様体 / チャウ群 / サイクル / 準楕円曲面 / ケンマー曲面 / アルチン不変量 / configuration / 起特異 / クンマー曲面 / 国際研究者交流(オランダ) / モジュラ空間 / 複素鏡映群 / Igusa quartic / Segre cubic / 有界対称領域 / ジェット空間 / Foliation / 差分ガロア理論 / 力学系 / 退化理論 / ホップ代数 / ラングランズ予想 / ヒルベルト第5問題 / ドルガチェフ曲面 / 圏論 / 位相的量子力学 / 非可換幾何学 / 帰納的射影概型 / バンルベ方程式 / 無限次元微分ガロア理論 / モノドロミー群 / 微分ガロニア理論 / 無限次元代数群 / 微分方程式のガロア理論 / Rademacher定数 / Monster / Conway群 / Leech格子 / 超特異K3曲面 / パシルベ方程式 / モノドロミ-保存変形 / 代数多様体の退化 / アフィンリー環 / 有理2重点 / 有理曲面 / ラングランヅ予想 / 場の理論 / グラスマン多様体 / パンルヴェ微分方程式 / スタック理論 / 線型Buchsbaum加群 / Brill-Noether軌跡 / Pfaffian / Young図形 / 古典群 / 有限自己同型群 / L^2∂閉形式 / 弱1完備多様体 / 生成的 / 補間理論 / リニック予想 / 跡公式 / クロステルマンゼータ関数 / クロステルマン和 / スペクトル理論 / ア-ス尖点形式 / アイゼンシュタイン級数 / 加法的約数問題 / ラマヌジャングラフ / 正則グラフ / グラフスペクトル / 三角和 / 一様分布 / ガウス和 / DGファイバー / ブックスバウム加群 / 重複度 / 局所環 / ロビンソン・シェンステッド対応 / 量子群 / 分配束 / 行列式イデアル / ヤング・バクスタ-方程式 / 2次元場の量子論 / 双有理写像 / 典型モデル Less
  • Research Projects

    (67 results)
  • Research Products

    (273 results)
  • Co-Researchers

    (170 People)
  •  New development of algebraic geometry viewed from theoretical physics

    • Principal Investigator
      Moriwaki Atsushi
    • Project Period (FY)
      2016 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Birational geometry: subgroups of the Cremona groups and their generatorsPrincipal Investigator

    • Principal Investigator
      向井 茂
    • Project Period (FY)
      2015 – 2017
    • Research Category
      Grant-in-Aid for JSPS Fellows
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Moduli spaces of algebraic varieties and self-morphismsPrincipal Investigator

    • Principal Investigator
      Mukai Shigeru
    • Project Period (FY)
      2013 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Developments in Interactions between Algebraic Geometry and Integrable Systems

    • Principal Investigator
      Saito Masa-Hiko
    • Project Period (FY)
      2012 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Algebra
    • Research Institution
      Kobe University
  •  Analytic torsion and geometry

    • Principal Investigator
      Yoshikawa Ken-Ichi
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Lattices, automorphic forms, and moduli spaces

    • Principal Investigator
      KONDO Shigeyuki
    • Project Period (FY)
      2010 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Constructions and developments of geomerty on moduli spaces and arithmetic varieties

    • Principal Investigator
      MORIWAKI Atsushi
    • Project Period (FY)
      2010 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Moduli theoretic study of Fano varieties and Enriques surfacesPrincipal Investigator

    • Principal Investigator
      MUKAI Shigeru
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Various problems related to the classification in higher dimensional birational geometry

    • Principal Investigator
      MORI Shigefumi
    • Project Period (FY)
      2008 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  ルート系を実現する代数多様体―ワイル群が支配する双有理幾何を目指して―Principal Investigator

    • Principal Investigator
      向井 茂
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Study on algebraic varieties related to moduli spaces and algebraic cycles

    • Principal Investigator
      KATSURA Toshiyuki
    • Project Period (FY)
      2007 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Algebra
    • Research Institution
      Hosei University
  •  New developments and interaction between Algebraic Geometry and Integrable Systems

    • Principal Investigator
      SAITO Masa-hiko (SAITO Masahiko)
    • Project Period (FY)
      2007 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Algebra
    • Research Institution
      Kobe University
  •  Research on lattices, automorphic forms and moduli spaces

    • Principal Investigator
      KONDO Shigeyuki (SHIGEYUKI Kondo)
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Fano varieties and moduli spaces with emphasis on the Verlinde Formula and the 14^<th> problem of HilbertPrincipal Investigator

    • Principal Investigator
      MUKAI Shigeru
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  ガロア理論と解析学の諸問題

    • Principal Investigator
      梅村 浩
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Various Problems on the Classification in Higher Dimensional Birational Geometry

    • Principal Investigator
      MORI Shigefumi
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  The study of integrable systems and Lie algebras associated with the period maps for primitive forms

    • Principal Investigator
      SAITO Kyoji
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  低次超曲面の代数幾何と有限単純群Principal Investigator

    • Principal Investigator
      向井 茂
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Algebra, Geometry, Analysis in non-linear equations

    • Principal Investigator
      UMEMURA Hiroshi
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  帰納射影概型の基礎理論とその応用

    • Principal Investigator
      浪川 幸彦
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  関数体上の2次形式とVerlinde公式Principal Investigator

    • Principal Investigator
      向井 茂
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
      Nagoya University
  •  無限次元微分Galois理論の解析学への新しい応用

    • Principal Investigator
      梅村 浩
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Research on prehomogenecus vector spaces and representation theory of algebraic groups

    • Principal Investigator
      GYOJA Akihiko
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Arithmetic study of Shimura varieties

    • Principal Investigator
      FUJIWARA Kazuhiro
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Study of relations and applications of Arithmetic Geometry to branches of Algebra

    • Principal Investigator
      MORITA Yasuo
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Classification problems in Higher Dimensional Birational Geometry

    • Principal Investigator
      MORI Shigefumi
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  Geometry on String Theory and Moduli spaces

    • Principal Investigator
      SAITO Masa-hiko
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kobe University
  •  代数幾何学的手法によるモンスターの研究

    • Principal Investigator
      金銅 誠之
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Research on Interactions of Algebraic Geometry, Hodge Theory and Logarithmic Geometry

    • Principal Investigator
      USUI Sampei
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Algebraic Cycles on Algebraic Varieties

    • Principal Investigator
      SAITO Shuji
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
      Tokyo Institute of Technology
  •  Rational singularities, Young diagram, Painleve equation

    • Principal Investigator
      UMEMURA Hiroshi
    • Project Period (FY)
      1999 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  On ring-theoretical invariants of singular points in positive characteristic

    • Principal Investigator
      YOSHIDA Kenichi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Study of moduli spaces, and K3 moonshinePrincipal Investigator

    • Principal Investigator
      MUKAI Shigeru
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERCITY
      Nagoya University
  •  Research on K3 surfaces

    • Principal Investigator
      KONDO Shigeyuki
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Iwasawa theory for cyclotomic towers

    • Principal Investigator
      FUJIWARA Kazuhiro
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Automorphic function on the moduli space and analytic torsion

    • Principal Investigator
      YOSHIKAWA Kenichi
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
      Nagoya University
  •  Special functions associated with the geometric structures on complex manifolds

    • Principal Investigator
      SATO Takeshi, 佐藤 猛
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      NAGOYA UNIVERSITY
  •  帰納的影響型の基礎理論

    • Principal Investigator
      浪川 幸彦
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  無限次元射影的代数幾何学の試み

    • Principal Investigator
      梅村 浩
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Synthetic research of algebraic geometry with an expectation of wide applications

    • Principal Investigator
      ISHIDA Masanori
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      TOHOKU UNIVERSITY
  •  Radon transformation in Nevanlinina theory and Diophantire approximation

    • Principal Investigator
      KOBAYASHI Ryoichi
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A).
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  Various problems related to classifications around the higher dimensional birational geometry

    • Principal Investigator
      MORI Shigefumi
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  On the roles of generalized linear CM modules in commutative ring theory

    • Principal Investigator
      YOSHIDA Ken-ichi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  古典群・量子群の表現論とYoung図形の組合せ論

    • Principal Investigator
      岡田 聡一
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Algebraic Geometry and Hodge Theory

    • Principal Investigator
      USUI Sampei
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Study of moduli spaces -compactification and period mapPrincipal Investigator

    • Principal Investigator
      SAITO Hiroshi, 向井 茂
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Studies on the Painleve equations

    • Principal Investigator
      UMEMURA Hiroshi
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Theory of Differential Forms and Twistor Structures

    • Principal Investigator
      SATO Hajime
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  Automorphic and Galois representations

    • Principal Investigator
      FUJIWARA Kazuhiro
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  補間問題における幾何学的理論の構成

    • Principal Investigator
      大沢 健夫
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  代数多様体のモジュライ空間の研究

    • Principal Investigator
      KONDO Shigeyuki
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  層のカテゴリーとモジュライの研究Principal Investigator

    • Principal Investigator
      向井 茂
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Orenall Study on Algebraic Varieties and its Applications

    • Principal Investigator
      KATSURA Toshiyuki
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      University of Tokyo
  •  Studies on moduli spaces from the view point of mathematical physics

    • Principal Investigator
      UENO Kenji
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  Cross-Subject Study of Geometry

    • Principal Investigator
      KOBAYASHI Ryoichi
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  グラフのスペクトルと不変式論

    • Principal Investigator
      寺西 鎮男
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  保型関数のスペクトル理論とその整数論への応用

    • Principal Investigator
      谷川 好男
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Synthetic Study of Fundamantal MathematicsPrincipal Investigator

    • Principal Investigator
      MUKAI Shigeru
    • Project Period (FY)
      1994 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  ベクトル束のモジュライ空間と可積分系Principal Investigator

    • Principal Investigator
      向井 茂
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Nagoya University
  •  環論・組合せ論・表現論とその応用

    • Principal Investigator
      松村 英之
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  ガウス和とある型の積の関係,およびこの関係から従うガウス和の諸性質の研究

    • Principal Investigator
      伊藤 博
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Higher Dimensional Algebraic Varieties

    • Principal Investigator
      MORI Shigefumi
    • Project Period (FY)
      1992 – 1993
    • Research Category
      Grant-in-Aid for international Scientific Research
    • Research Institution
      Kyoto University
  •  Algebra and Geometry on Algebraic Varieties

    • Principal Investigator
      MARUYAMA Masaki
    • Project Period (FY)
      1992 – 1994
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      KYOTO UNIVERSITY
  •  環論,組合せ論,表現論とその応用

    • Principal Investigator
      松村 英之
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  モジュライ空間の構成とコンパクト化(多様体論への応用を目指して)Principal Investigator

    • Principal Investigator
      向井 茂
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  Research on Fundamental Mathematical Sciences

    • Principal Investigator
      AOMOTO Kazuhiko
    • Project Period (FY)
      1991 – 1993
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  三次元多様体について

    • Principal Investigator
      NAMIKAWA Yukihiko
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University

All 2022 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 Other

All Journal Article Presentation Book

  • [Book] Minimal models and extremal rays (Kyoto, 2011), Adv. Stud. Pure Math.2015

    • Author(s)
      J. Kollar, O. Fujino, S. Mukai, N. Nakayama (編集)
    • Publisher
      日本数学会
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Book] モジュライ理論I, II2008

    • Author(s)
      向井茂
    • Total Pages
      458
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-19104002
  • [Book]2008

    • Author(s)
      向井茂
    • Total Pages
      458
    • Publisher
      モジュライ理論I・II(改訂新版)
    • Data Source
      KAKENHI-PROJECT-17340006
  • [Book] An introroduction to invariants and moduli2003

    • Author(s)
      Mukai, Shigeru
    • Total Pages
      503
    • Publisher
      Cambridge University Press
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440004
  • [Book] An introduction to invariants and moduli2003

    • Author(s)
      S.Mukai
    • Total Pages
      503
    • Publisher
      Cambridge University Press
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440003
  • [Journal Article] Curves and symmetric spaces III: BN-special vs. 1-PS degeneration2022

    • Author(s)
      S. Mukai
    • Journal Title

      Proc. Indian Acad. Sci.

      Volume: 132

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Journal Article] Resultants and the Borcherds Φ-function2018

    • Author(s)
      S. Kawaguchi, S. Mukai, K.-I. Yoshikawa
    • Journal Title

      American Journal of Mathematics

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Journal Article] Resultants and the Borcherds Φ-function2018

    • Author(s)
      Shu Kawaguchi, Shigeru Mukai, Ken-Ichi Yoshikawa
    • Journal Title

      American Journal of Mathematics

      Volume: 140 Issue: 6 Pages: 1471-1519

    • DOI

      10.1353/ajm.2018.0045

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H06335, KAKENHI-PROJECT-15H02057, KAKENHI-PROJECT-16H03935, KAKENHI-PROJECT-18H01114
  • [Journal Article] Resultants and the Borcherds Φ-function2017

    • Author(s)
      川口 周,向井 茂、吉川 謙一
    • Journal Title

      American Journal of Mathematics

      Volume: 印刷中

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Journal Article] K3 surfaces of genus sixteen2016

    • Author(s)
      S. Mukai
    • Journal Title

      ”Minimal models and extremal rays”, Ad. Stud. Pure Math.

      Volume: 70 Pages: 379-396

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Journal Article] K3 surfaces of genus sixteen Minimal models and extremal rays2016

    • Author(s)
      S. Mukai
    • Journal Title

      Ad. Stud. Pure Math.

      Volume: 70

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Journal Article] K3 surfaces of genus sixteen2016

    • Author(s)
      向井 茂
    • Journal Title

      Ad. Stud. Pure Math.

      Volume: 70 Pages: 379-396

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Journal Article] Correction to "Igusa quartic and Steiner surfaces", Appendix to "Siegel modular forms of genus 2 and level 2" by F. Clery, G. van der Geer and S. Grushevsky2015

    • Author(s)
      F. Clery, G. van der Geer and S. Grushevsky with an appendix by Shigeru Mukai
    • Journal Title

      International J. Math

      Volume: 26 Issue: 05 Pages: 1550034-49

    • DOI

      10.1142/s0129167x15500342

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Journal Article] Correction to "Igusa quartic and Steiner surfaces"2015

    • Author(s)
      S.Mukai
    • Journal Title

      International J. Math.

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Journal Article] K3 surfaces of genus sixteen2015

    • Author(s)
      S.Mukai
    • Journal Title

      Minimal models and extremal rays (Adv. Stud. Pure Math.)

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Journal Article] The automorphism groups of Enriques surfaces covered by symmetric quartic surfaces2015

    • Author(s)
      S. Mukai and H. Ohashi
    • Journal Title

      ``Recent Advances in Algebraic Geometry" (eds. Hacon, Mustata and Popa) in the London Mathematical Society Lecture Notes Series (Cambridge Univ. Press)

      Volume: 417 Pages: 307-320

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Journal Article] The automorphism groups of Enriques surfaces covered by symmetric quartic surfaces2015

    • Author(s)
      S. Mukai, H. Ohashi
    • Journal Title

      Recent Advances in Algebraic Geometry, London Mathematical Society Lecture Notes Series

      Volume: 417

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Journal Article] The automorphism Groups of Enriques surfaces covered by symmetric quartic surfaces2014

    • Author(s)
      Shigeru Mukai and Hisanori Ohashi
    • Journal Title

      Lazarsfeld 教授還暦記念代数幾何学研究集会報告集 (London Math. Soc. Lect. Notes Ser.)

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Journal Article] Counterexample of Kodaira’s vanishing and Yau’s inequality in positive characteristics2013

    • Author(s)
      S. Mukai
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: 53

    • NAID

      120005302078

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Journal Article] Counterexample of Kodaira’s vanishing and Yau’s inequality in positive characteristics2013

    • Author(s)
      向井 茂
    • Journal Title

      Kyoto J. Math.

      Volume: 53 Issue: 2 Pages: 525-532

    • DOI

      10.1215/21562261-2081279

    • NAID

      120005302078

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244003, KAKENHI-PROJECT-25220701
  • [Journal Article] Enriques surfaces of Hutchinson-Gopel type and Mathieu automorphisms2013

    • Author(s)
      向井 茂,大橋久範
    • Journal Title

      "Arithmetic and Geometry of K3 surfaces and Calabi-Yau threefolds", Fields Institute Communications

      Volume: 67 Pages: 429-454

    • DOI

      10.1007/978-1-4614-6403-7_15

    • ISBN
      9781461464020, 9781461464037
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244003, KAKENHI-PROJECT-22340007, KAKENHI-PROJECT-23740010, KAKENHI-PROJECT-25220701
  • [Journal Article] Kummer's quartics and numerically reflective involutions of Enriques surfaces2012

    • Author(s)
      S.Mukai
    • Journal Title

      J. Math. Soc. Japan

      Volume: 64 Pages: 231-246

    • NAID

      10030740093

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Journal Article] Kummer's quartics and numerically reflective involutions of Enriques surfaces2012

    • Author(s)
      Shigeru Mukai
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 64 Issue: 1 Pages: 231-246

    • DOI

      10.2969/jmsj/06410231

    • NAID

      10030740093

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Journal Article] Igusa quartic and Steiner surfaces2012

    • Author(s)
      向井茂
    • Journal Title

      Contemp.Math.

      Volume: 564 Pages: 205-210

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Journal Article] Igusa quartic and Steiner surfaces2012

    • Author(s)
      S. Mukai
    • Journal Title

      Contemp. Math.

      Volume: 564 Pages: 205-210

    • DOI

      10.1090/conm/564/11171

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19104001, KAKENHI-PROJECT-22244003, KAKENHI-PROJECT-22340007, KAKENHI-PROJECT-24224001
  • [Journal Article] Lecture notes on K3 and Enriques surfaces2012

    • Author(s)
      S.Mukai
    • Journal Title

      European Math.Soc.(a volume of a conference report series)

      Volume: (掲載確定)

    • Data Source
      KAKENHI-PROJECT-22340007
  • [Journal Article] Kummer's quartics and numerically reflective involutions of Enriques surfaces2012

    • Author(s)
      S. Mukai
    • Journal Title

      J. Math. Soc. Japan

      Volume: 64 Pages: 231-246

    • NAID

      10030740093

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Journal Article] Lecture notes on K3 and Enriques surfaces,"Contribution to Akgebraic Geometry"(ed. P. Pragacz)2012

    • Author(s)
      Shigeru Mukai
    • Journal Title

      European Math. Soc.2012

      Pages: 389-405

    • DOI

      10.4171/114-1/15

    • ISBN
      9783037191149, 9783037196144
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Journal Article] Kummer's quartics and numerically reflective involutions of Enriques surfaces2011

    • Author(s)
      向井茂
    • Journal Title

      J.reine angew.Math.

      Volume: 64 Pages: 231-246

    • NAID

      10030740093

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Journal Article] Curves and symmetric spaces, II2010

    • Author(s)
      S. Mukai
    • Journal Title

      Ann. of Math

      Volume: 172, no.3 Pages: 1539-1558

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19104002
  • [Journal Article] Numerically trivial involutions of Kummer type of Enriques surfaces2010

    • Author(s)
      Shigeru Mukai
    • Journal Title

      Kyoto Math.J

      Volume: 50 Pages: 889-902

    • NAID

      120005593653

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Journal Article] Curves and symmetric spaces II2010

    • Author(s)
      Shigeru Mukai
    • Journal Title

      Ann.of Math

      Volume: 172 Pages: 1539-1558

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Journal Article] Curves and symmetric spaces II2010

    • Author(s)
      Shigeru Mukai
    • Journal Title

      Ann.of Math.

      Volume: 172 Pages: 1539-1558

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20654004
  • [Journal Article] Curves and symmetric spaces II2010

    • Author(s)
      向井茂
    • Journal Title

      Ann.of Math.

      Volume: 172 Pages: 1539-1558

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Journal Article] Numerically trivial involutions of Kummer type of Enriques surfaces2010

    • Author(s)
      Shigeru Mukai
    • Journal Title

      Kyoto Math. J.

      Volume: 50 Issue: 4 Pages: 889-902

    • DOI

      10.1215/0023608x-2010-017

    • NAID

      120005593653

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Journal Article] Numerically trivial involutions of Kummer type of Enriques surfaces2010

    • Author(s)
      Shigeru Mukai
    • Journal Title

      Kyoto Math.J.

      Volume: 50 Pages: 889-902

    • NAID

      120005593653

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Journal Article] Numerically trivial involutions of Kummer type of Enriques surfaces2010

    • Author(s)
      向井茂
    • Journal Title

      Kyoto J.Math.

      Volume: 50 Pages: 889-902

    • NAID

      120005593653

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Journal Article] Curves and symmetric spaces, II2010

    • Author(s)
      Shigeru Mukai
    • Journal Title

      Ann. of Math.

      Volume: 172 Issue: 3 Pages: 1539-1558

    • DOI

      10.4007/annals.2010.172.1539

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Journal Article] Numerically trivial involutions of Kummer type of Enriques surfaces2010

    • Author(s)
      Shigeru Mukai
    • Journal Title

      Kyoto Math.J.

      Volume: 50 Pages: 889-902

    • NAID

      120005593653

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20654004
  • [Journal Article] Curves and symmetric spaces, II2010

    • Author(s)
      Shigeru Mukai
    • Journal Title

      Ann.of Math. (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20654004
  • [Journal Article] Curves and symmetric spaces II2010

    • Author(s)
      Shigeru Mukai
    • Journal Title

      Ann.of Math.

      Volume: 172 Pages: 1539-1558

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Journal Article] Obstructions to deforming curves on a 3-fold, I2009

    • Author(s)
      S. Mukai and H. Nasu
    • Journal Title

      Journal of Algebra Geometry (to appear)(掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340006
  • [Journal Article] Obstructions to deforming curves on a threefold2009

    • Author(s)
      S. Mukai, H. Nasu
    • Journal Title

      I, J. Alg. Geom. vol.18

      Pages: 691-709

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204001
  • [Journal Article] Obstructions to deforming curves on a threefold, I : a generalization of Mumford's example and an application to Hom schemes2009

    • Author(s)
      Shigeru Mukai, Hirokazu Nasu
    • Journal Title

      J.Alg.Geom. 18

      Pages: 691-709

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20654004
  • [Journal Article] Geometric realization of T-shaped root systems and the Jacobians of del Pezzo surfaces, "Geometry in Osaka", Lecture Notes in Math2008

    • Author(s)
      Shigeru Mukai
    • Journal Title

      Osaka University (vol.9)

      Pages: 134-136

    • Data Source
      KAKENHI-PROJECT-17340006
  • [Journal Article] Obstructions to deforming curves on a threefold I2008

    • Author(s)
      S.Mukai and H.Nasu
    • Journal Title

      J.Alg.Geom (to appear)(掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Journal Article] モジュライ入門-数え上げとコンパクト化をめぐって2008

    • Author(s)
      向井 茂
    • Journal Title

      数理科学 3

      Pages: 37-42

    • Data Source
      KAKENHI-PROJECT-17340006
  • [Journal Article] Pularized K3 surfacos of genus thirteen2008

    • Author(s)
      向井 茂
    • Journal Title

      Adv. stud. Pure Math. 45

      Pages: 315-325

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17654006
  • [Journal Article] Polarized K3 surfaces of genus thirteen2006

    • Author(s)
      S.Mukai
    • Journal Title

      Adv. Study. Pure Math. 45

      Pages: 315-326

    • Data Source
      KAKENHI-PROJECT-15340004
  • [Journal Article] Polarized K3 surfaces of genus thirteen2006

    • Author(s)
      S., Mukai
    • Journal Title

      Adv. Stud. Pure Math 45

      Pages: 315-326

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Journal Article] Polarized K3 surfaces of genus thirteen2006

    • Author(s)
      向井茂
    • Journal Title

      Adv. Stud. Pure Math. 45

      Pages: 315-326

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Journal Article] Polarized K3 surfaces of genus thirteen, Adv. Stud2006

    • Author(s)
      Shigeru Mukai
    • Journal Title

      Pure Math. 45

      Pages: 315-326

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340006
  • [Journal Article] Polarized K3 surfaces of genus thirteen2006

    • Author(s)
      Shigeru Mukai
    • Journal Title

      Advanced Studies in Pure Mathematics 45

      Pages: 315-326

    • Data Source
      KAKENHI-PROJECT-16340016
  • [Journal Article] Polarized K3 surfaces of genus thirteen2006

    • Author(s)
      向井 茂
    • Journal Title

      Adv. Stud. Pure Math. 45

      Pages: 315-326

    • Data Source
      KAKENHI-PROJECT-16340004
  • [Journal Article] Polarlzed K3 surface of gemus thinteen2006

    • Author(s)
      S.Mukai
    • Journal Title

      Adv. Study Pure Math. 45

      Pages: 315-326

    • Data Source
      KAKENHI-PROJECT-17654006
  • [Journal Article] Polarized K3 surfaces of genus thirteen2006

    • Author(s)
      S. Mukai
    • Journal Title

      Adv. Stud. Pure Math. vol.45

      Pages: 315-326

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204001
  • [Journal Article] Polarized K3 surfaces of genus thirteen2006

    • Author(s)
      S.Mukai
    • Journal Title

      Adv. Stud. Pure Math. 45

      Pages: 315-326

    • Data Source
      KAKENHI-PROJECT-17340006
  • [Journal Article] Plane quartics and Fano threefolds of genus twelve2004

    • Author(s)
      Shigeru Mukai
    • Journal Title

      Proceedings of the Fano Conference, Torino Univ., (eds) A.Conte et al.

      Pages: 563-572

    • Data Source
      KAKENHI-PROJECT-15654006
  • [Journal Article] Geometric realization of Tshaped root systems and counterexamples to Hilbert's fourteenth problem2004

    • Author(s)
      S., Mukai
    • Journal Title

      Algebraic transformation groups and algebraic varieties, (ed) V. L. Popov, Springer-Verlag

      Pages: 123-129

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340016
  • [Journal Article] Geometric realization of T-shaped root systems2004

    • Author(s)
      S.Mukai
    • Journal Title

      Encyclopeadia Muth.Sci 132

      Pages: 123-129

    • Data Source
      KAKENHI-PROJECT-15340004
  • [Journal Article] Plane quartics and Fano threefolds of genus twelve2004

    • Author(s)
      向井茂
    • Journal Title

      Proceedings of the Fano Conference, Torino Univ. Turin, 2004

      Pages: 563-572

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Journal Article] Geometric realization of T-shaped root systems and counterexamples to Hilbert's fourteenth problem2004

    • Author(s)
      Shigeru Mukai
    • Journal Title

      Algebraic Transformation Groups and Algebraic Varieties, (ed) V.L.Popov, Springer-Verlag

      Pages: 123-129

    • Data Source
      KAKENHI-PROJECT-15654006
  • [Journal Article] Geometric realization of T-shaped root systems and counterexamples to Hilbert's fourteenth problem2004

    • Author(s)
      向井茂
    • Journal Title

      Encyclopaedia Math. Sci 132

      Pages: 123-129

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Journal Article] Plane quartics and Fano threefolds of genus twelve2004

    • Author(s)
      S., Mukai
    • Journal Title

      Proceedings of the Fano Conference(Torino Univ. Turin 2004)

      Pages: 563-572

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Journal Article] Geometric realization of T-shaped root systems and counterexamples to Hilbert's fourteenth problem2004

    • Author(s)
      S. Mukai
    • Journal Title

      Algebraic transformation groups and algebraic varieties

      Pages: 123-129

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340016
  • [Journal Article] Plane quartics and Fano threefolds of genus twelve2004

    • Author(s)
      S.Mukai
    • Journal Title

      Proceedings of the Fano Conference, Torino Univ.((eds) A.Conte et al.)

      Pages: 563-572

    • Data Source
      KAKENHI-PROJECT-16340004
  • [Journal Article] Geometric realization of T-shaped root systems and counterexamples to Hilbert's fourteenth problem2004

    • Author(s)
      Mukai, Shigeru
    • Journal Title

      Encyclopedia of Mathematics 132

      Pages: 123-129

    • Data Source
      KAKENHI-PROJECT-13440004
  • [Journal Article] Geometric realization of T-shaped root systems and counterexamples to Hilbert's fourteenth problem2004

    • Author(s)
      S., Mukai
    • Journal Title

      Encyclopaedia Math. Sci 132

      Pages: 123-129

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Journal Article] Vector bundles on a K3 surface2002

    • Author(s)
      S.Mukai
    • Journal Title

      Proc.ICM, Beijing

      Pages: 495-502

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440003
  • [Journal Article] Vector bundles on a K3 surface.2002

    • Author(s)
      S.Mukai
    • Journal Title

      Proc.ICM, Beijing

      Pages: 495-502

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440003
  • [Journal Article] Obstructions to deforming curves on a 3-fold I - a generalization of Mumford's example and an application to Hom schemes, to appear in J. Alg.

    • Author(s)
      Shigeru Mukai and Hirokazu Nasu
    • Journal Title

      Geometry

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340006
  • [Journal Article] Curves and symmetric spaces, II, to appear in Ann

    • Author(s)
      S. Mukai
    • Journal Title

      of Math

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Journal Article] Obstructions to deforming curves on a 3-fold, I --- a generalization of Mumford's example and an application to Horn schemes--

    • Author(s)
      S. Mukai, H. Nasu
    • Journal Title

      J. Alg. Geom. (to appear掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340006
  • [Journal Article] Obstructions to deforming curves on a 3-fold, I-a generalization of Mumford's example and an application to Hom schemes-

    • Author(s)
      S. Mukai, H. Nasu
    • Journal Title

      J. Alg. Geom. (to appear掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20654004
  • [Journal Article] Polarized K3 surfaces of genus thirteen

    • Author(s)
      S.Mukai
    • Journal Title

      Adv.Stud.Pure Math. to appear

    • Data Source
      KAKENHI-PROJECT-17340006
  • [Presentation] Automorphism groups of maximal supersingular K3 surfaces over the prime fields2019

    • Author(s)
      Shigeru Mukai
    • Organizer
      Algebraic Geometry Workshop
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Extremal Enriques surfaces and their mod 3 reductions2019

    • Author(s)
      Shigeru Mukai
    • Organizer
      Discrete groups and moduli
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Algebraic varieties governing root systems, and the Jacobians of del Pezzo surfaces2019

    • Author(s)
      Shigeru Mukai
    • Organizer
      都の西北代数幾何学シンポジウム2019
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Extremal Coble sextets and their mod 3 reductions2019

    • Author(s)
      Shigeru Mukai
    • Organizer
      Workshop on Algebraic geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Prime Fano 3-folds and BN-general K3 surfaces2019

    • Author(s)
      Mukai, Shigeru
    • Organizer
      Special Holonomy in Geometry, Analysis, and Physics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Abelian surfaces of degree 10 and Fano 3-folds of degree 222018

    • Author(s)
      Mukai, Shigeru
    • Organizer
      Algebraic Geometry Seminar
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Kummer and mirror quartics2018

    • Author(s)
      Mukai, Shigeru
    • Organizer
      Morningside Center for Math. Colloquium
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Automorphism of K3 surfaces and decomposition groups of rational sextics2018

    • Author(s)
      Mukai, Shigeru
    • Organizer
      Classical Algebraic Geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Umemura 3-folds as moduli of abelian surfaces, and the Horrocks-Mumford bundle2018

    • Author(s)
      Mukai, Shigeru
    • Organizer
      The Ninth Yamabe Memorial Symposium
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Cremona transformations preserving a Cremona sextic2018

    • Author(s)
      Mukai, Shigeru
    • Organizer
      パリ大学合同代数幾何学セミナー
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Brill-Noether loci of vector bundles and generic K3 surfaces2017

    • Author(s)
      S. Mukai
    • Organizer
      代数的層のモジュライの研究とその周辺
    • Place of Presentation
      京都大学数理解析研究所 (京都府・京都市)
    • Year and Date
      2017-02-03
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Enrique surfaces with rational curves of Petersen configuration2017

    • Author(s)
      Mukai, Shigeru
    • Organizer
      Algebraic Geometry Conference
    • Place of Presentation
      Libero Hotel, (釜山,韓国)
    • Year and Date
      2017-03-29
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Coble surfaces whose automorphism groups are virtually free2017

    • Author(s)
      Mukai, Shigeru
    • Organizer
      Complex Geometry, Dynamical Systems and Foliation Theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Coble surfaces and their automorphism groups2017

    • Author(s)
      向井 茂
    • Organizer
      Algebraic Geometry Conference (in honor of Arnaud Beauville's 70th birthday
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Coble surfaces and their automorphism groups2017

    • Author(s)
      Mukai, Shigeru
    • Organizer
      Algebraic Geometry Conference (in honor of Arnaud Beauville's 70th birthday)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Enriques surfaces whose automorphism groups are virtually free2017

    • Author(s)
      Mukai, Shigeru
    • Organizer
      Developments of mathematics at IPMU in honor of Kyoji Saito
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Coble surfaces and their automorphism groups2017

    • Author(s)
      Mukai, Shigeru
    • Organizer
      K3 Surfaces and Related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Enrique surfaces with rational curves of Petersen configuration2017

    • Author(s)
      向井 茂
    • Organizer
      Algebraic Geometry Conference
    • Place of Presentation
      Libero Hotel, 釜山
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Coble surfaces whose automorphism groups are virtually free2017

    • Author(s)
      向井 茂
    • Organizer
      Complex Geometry, Dynamical Systems and Foliation Theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Enriques surfaces whose automorphism groups are virtually free2017

    • Author(s)
      向井 茂
    • Organizer
      evelopments of mathematics at IPMU in honor of Kyoji Saito
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Coble surfaces and their automorphism groups2017

    • Author(s)
      向井 茂
    • Organizer
      K3 Surfaces and Related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Enriques surfaces with rational curves of Petersen configuration2017

    • Author(s)
      S. Mukai
    • Organizer
      Algebraic Geometry Conference
    • Place of Presentation
      Busan (Korea)
    • Year and Date
      2017-03-29
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Brill-Noether loci of vector bundles and generic K3 surfaces2017

    • Author(s)
      Mukai, Shigeru
    • Organizer
      代数的層のモジュライの研究とその周辺
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市)
    • Year and Date
      2017-02-03
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Enrique surfaces: their symmetries and fundamental polarization2016

    • Author(s)
      向井 茂
    • Organizer
      Hyper-Kahler Manifolds, Hodge Theory and Chow groups
    • Place of Presentation
      清華三亜数学研究所、海南島
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Algebraic varieties and symmetries2016

    • Author(s)
      S. Mukai
    • Organizer
      許振栄講義
    • Place of Presentation
      Taipei (Taiwan)
    • Year and Date
      2016-11-28
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Root systems and automorphisms of Enrique surfaces2016

    • Author(s)
      S. Mukai
    • Organizer
      Varieties with trivial canonical bundle
    • Place of Presentation
      Bedlewo (Poland)
    • Year and Date
      2016-06-16
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Enrique surfaces: their symmetries and fundamental polarization2016

    • Author(s)
      S. Mukai
    • Organizer
      Hyper-Kahler Manifolds, Hodge Theory and Chow groups
    • Place of Presentation
      海南島 (China)
    • Year and Date
      2016-12-21
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Algebraic varieties and symmetries2016

    • Author(s)
      Mukai, Shigeru
    • Organizer
      許振栄講義
    • Place of Presentation
      台湾大学 ( 台北市,台湾)
    • Year and Date
      2016-11-28
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Enrique surfaces: fundamental polarizations and their mirror families2016

    • Author(s)
      向井 茂
    • Organizer
      Varieties with trivial canonical bundle
    • Place of Presentation
      Banach Center, Warsaw
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Enrique surfaces: fundamental polarizations and their mirror families2016

    • Author(s)
      S. Mukai
    • Organizer
      Varieties with trivial canonical bundle
    • Place of Presentation
      Warsaw (Poland)
    • Year and Date
      2016-06-10
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Enrique surfaces: their symmetries and fundamental polarization2016

    • Author(s)
      Mukai, Shigeru
    • Organizer
      Hyper-Kahler Manifolds, Hodge Theory and Chow groups
    • Place of Presentation
      清華三亜数学研究所、(海南島,中国)
    • Year and Date
      2016-12-21
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Root systems and automorphisms of Enrique surfaces2016

    • Author(s)
      Mukai, Shigeru
    • Organizer
      Varieties with trivial canonical bundle
    • Place of Presentation
      Banach Center, (Bedlewo, Poland)
    • Year and Date
      2016-06-16
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Uniruledness of M11, revisited,2016

    • Author(s)
      向井 茂
    • Organizer
      Higher dimensional algebraic geometry and around
    • Place of Presentation
      京都大学益川ホール(京都府京都市)
    • Year and Date
      2016-02-05
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Enriques surfaces and miracle octad generator (MOG)2016

    • Author(s)
      S. Mukai
    • Organizer
      Moonshine and K3 surfaces
    • Place of Presentation
      名古屋大学 (愛知県・名古屋市)
    • Year and Date
      2016-11-07
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Enriques surfaces: fundamental polarizations and their mirror families2016

    • Author(s)
      S. Mukai
    • Organizer
      Algebraic Geometry and Integrable Systems, Kobe 2016
    • Place of Presentation
      神戸大学 (兵庫県・神戸市)
    • Year and Date
      2016-12-05
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Root systems and automorphisms of Enrique surfaces2016

    • Author(s)
      向井 茂
    • Organizer
      Varieties with trivial canonical bundle
    • Place of Presentation
      Banach Center, Bedlewo
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Uniruledness of M11, revisited2016

    • Author(s)
      S. Mukai
    • Organizer
      Higher dimensional algebraic geometry and around
    • Place of Presentation
      京都大学 (京都府・京都市)
    • Year and Date
      2016-02-05
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Algebraic varieties and symmetries2016

    • Author(s)
      向井 茂
    • Organizer
      許振栄講義
    • Place of Presentation
      台湾大学
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Enrique surfaces: fundamental polarizations and their mirror families2016

    • Author(s)
      Mukai, Shigeru
    • Organizer
      Varieties with trivial canonical bundle
    • Place of Presentation
      Banach Center, (Warsaw,Poland)
    • Year and Date
      2016-06-10
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Enriques surfaces and miracle octad generator (MOG)2016

    • Author(s)
      Mukai, Shigeru
    • Organizer
      Moonshine and K3 surfaces
    • Place of Presentation
      名古屋大学(愛知県名古屋市)
    • Year and Date
      2016-11-07
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Enriques surfaces: fundamental polarizations and their mirror families2016

    • Author(s)
      Mukai, Shigeru
    • Organizer
      代数幾何学と可積分系、神戸2016
    • Place of Presentation
      神戸大学(兵庫県神戸市)
    • Year and Date
      2016-12-05
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] エンリケス曲面とその周辺 ー各種多面体、グラフや hexacode 等々ー2015

    • Author(s)
      向井 茂
    • Organizer
      共共拠点研究会 RIMS1963-IMI2013
    • Place of Presentation
      九州大学(福岡県福岡市)
    • Year and Date
      2015-12-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Enriques surface with 1,440 symmetries2014

    • Author(s)
      S. Mukai
    • Organizer
      K3, Enriques surfaces and related topics
    • Place of Presentation
      名古屋大学坂田平田記念ホール
    • Year and Date
      2014-11-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Enriques surface with 1,440 symmetries2014

    • Author(s)
      S. Mukai
    • Organizer
      K3, Enriques surfaces and related topics 2024/11/10
    • Place of Presentation
      名古屋大学坂田平田記念ホール
    • Year and Date
      2014-11-10
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Enriques surfaces2013

    • Author(s)
      Shigeru Mukai
    • Organizer
      Luminy(3 lectures)
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] K3, Enriques曲面とルート系について2013

    • Author(s)
      向井茂
    • Organizer
      第12回岡シンポジウム
    • Place of Presentation
      奈良女子大学
    • Year and Date
      2013-12-14
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Invariant theory and geometry - Hilbert's 14th problem, Nagata's counter example and beyond, Opening conference of Center for Mathematical Challenge2013

    • Author(s)
      Shigeru Mukai
    • Organizer
      Korean Advanced Institute of Science and Technology (KAIST)
    • Place of Presentation
      Dejon, Seoul
    • Year and Date
      2013-12-15
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces and Igusa quartic2013

    • Author(s)
      Shigeru Mukai
    • Place of Presentation
      Tokyou Univ.
    • Year and Date
      2013-01-28
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces2013

    • Author(s)
      Shigeru Mukai
    • Organizer
      Algebraic Geometry Conference
    • Place of Presentation
      Univ. Amsterdam
    • Year and Date
      2013-06-09
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Fano 3-folds, moduli and automorphism groups etc.2013

    • Author(s)
      Shigeru Mukai
    • Organizer
      RIMS
    • Place of Presentation
      Kyoto Univ.
    • Year and Date
      2013-06-19
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces and cubic 4-folds with action of M102013

    • Author(s)
      Shigeru Mukai
    • Organizer
      Symplectic Algebraic Geometry
    • Place of Presentation
      Kansai Seminar House
    • Year and Date
      2013-09-30
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces with 720 symmetries2013

    • Author(s)
      Shigeru Mukai
    • Place of Presentation
      Michigan Univ.
    • Year and Date
      2013-05-18
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces as neighbors of rational surfaces and vice versa2013

    • Author(s)
      Shigeru Mukai
    • Year and Date
      2013-05-28
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces and root systems2012

    • Author(s)
      Shigeru Mukai
    • Organizer
      Moduli and birational geometry(International conference)
    • Place of Presentation
      Busan, Korea
    • Year and Date
      2012-07-10
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces and integral lattices2012

    • Author(s)
      Shigeru Mukai
    • Organizer
      Arithmatic and Algebraic Geometry 2012
    • Place of Presentation
      Univ. Tokyo
    • Year and Date
      2012-02-15
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces with small/large automorphisms2012

    • Author(s)
      向井 茂
    • Organizer
      Classical Algebraic Geometry
    • Place of Presentation
      Oberwolfach
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Enriques surfaces and Abelian surfaces2012

    • Author(s)
      向井 茂
    • Organizer
      Algebraic and complex geometry
    • Place of Presentation
      Univ. Hannover
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Orthogonal Grassmannians and K3 surfaces of genus 182012

    • Author(s)
      Shigeru Mukai
    • Organizer
      Algebraic Geometry of higher dimensional varieties and vector bundles
    • Place of Presentation
      Kyushu Univ.
    • Year and Date
      2012-03-17
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces whose automorphism groups are virtually abelian2012

    • Author(s)
      Shigeru Mukai
    • Organizer
      Math. Forschungs Institut Oberwolfach
    • Place of Presentation
      Germany
    • Year and Date
      2012-09-05
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces and integral lattices2012

    • Author(s)
      向井茂
    • Organizer
      Arithmatic and Algebraic Geometry 2012
    • Place of Presentation
      東京大学
    • Year and Date
      2012-02-15
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Enriques surfaces and integral lattices2012

    • Author(s)
      S.Mukai
    • Organizer
      Arithmatic and Algebraic Geometry 2011
    • Place of Presentation
      Univ.Tokyo(招待講演)
    • Year and Date
      2012-02-15
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces and Abelian surfaces2012

    • Author(s)
      Shigeru Mukai
    • Organizer
      Algebraic and complex geometry(International conference)
    • Place of Presentation
      Univ. Hannover, Germany
    • Year and Date
      2012-09-10
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces with small/large automorphisms2012

    • Author(s)
      Shigeru Mukai
    • Organizer
      Classical Algebraic Geometry(International conference)
    • Place of Presentation
      Math. Forschungs Institut Oberwolfach, Germany
    • Year and Date
      2012-06-21
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] K3 surfaces of genus 17,"Moduli Spaces2011

    • Author(s)
      S.Mukai
    • Organizer
      Isaac Newton Inst.for Math. Sci.
    • Place of Presentation
      Cambridge, UK
    • Year and Date
      2011-04-12
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Simple Lie algebras and Legendre varieties2011

    • Author(s)
      Shigeru Mukai
    • Organizer
      Nilpotent orbits and representation theory
    • Place of Presentation
      九州大学(招待講演)
    • Year and Date
      2011-02-20
    • Data Source
      KAKENHI-PROJECT-20654004
  • [Presentation] K3 surfaces of genus 172011

    • Author(s)
      S.Mukai
    • Organizer
      Moduli Spaces
    • Place of Presentation
      Isaac Newton Inst.for Math.Sci., Cambridge, UK(招待講演)
    • Year and Date
      2011-04-12
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Simple Lie algebras and Legendre varieties2011

    • Author(s)
      Shigeru Mukai
    • Organizer
      Nilpotent orbits and representatio theory
    • Place of Presentation
      九州大学(招待講演)
    • Year and Date
      2011-02-20
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces and root systems2011

    • Author(s)
      向井茂
    • Organizer
      Arithmetic and Geometry of K3 surfaces and Calabi-Yau Threefolds
    • Place of Presentation
      Toronto, Canada
    • Year and Date
      2011-08-20
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Automorphisms of Enriques surfaces and the Mathieu group M122011

    • Author(s)
      S.Mukai
    • Organizer
      Periods and Moduli
    • Place of Presentation
      Seoul, Korea(招待講演)
    • Year and Date
      2011-09-22
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces and root systems, "Arithmetic and Geometry of K3 surfaces and Calabi-Yau Threefolds"2011

    • Author(s)
      Shigeru Mukai
    • Organizer
      The Fields Inst. Res. Math. Sci.
    • Place of Presentation
      Toronto, Canada
    • Year and Date
      2011-08-20
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces and root systems2011

    • Author(s)
      S.Mukai
    • Organizer
      Arithmetic and Geometry of K3 surfaces and Calabi-Yau Threefolds
    • Place of Presentation
      The Fields Inst. Res.Math. Sci., Toronto, Canada
    • Year and Date
      2011-08-20
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] K3 surfaces of genus 17, "Moduli Spaces"2011

    • Author(s)
      Shigeru Mukai
    • Organizer
      Isaac Newton Inst. for Math. Sci.
    • Place of Presentation
      Cambridge, UK
    • Year and Date
      2011-04-12
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces and root systems2011

    • Author(s)
      S.Mukai
    • Organizer
      Arithmetic and Geometry of K3 surfaces and Calabi-Yau Threefolds
    • Place of Presentation
      The Fields Inst.Res.Math.Sci., Toronto, Canada(招待講演)
    • Year and Date
      2011-08-20
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Automorphisms of Enriques surfaces and the Mathieu group M122011

    • Author(s)
      Shigeru Mukai
    • Organizer
      Periods and Moduli
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2011-09-22
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Automorphisms of Enriques surfaces and the Mathieu group M122011

    • Author(s)
      向井茂
    • Organizer
      Periods and Moduli
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2011-09-22
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] K3 surfaces of genus 172011

    • Author(s)
      向井茂
    • Organizer
      Moduli Spaces
    • Place of Presentation
      Isaac Newton Institute
    • Year and Date
      2011-04-12
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Enriques surfaces of type E72010

    • Author(s)
      Shigeru Mukai
    • Organizer
      Algebraic Geometry Symposium
    • Place of Presentation
      城崎(招待講演)
    • Year and Date
      2010-10-29
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces with many semi-symplectic automorphisms2010

    • Author(s)
      Shigeru Mukai
    • Organizer
      Komplexe Analysis
    • Place of Presentation
      Oberwolfach(Germany)(招待講演)
    • Year and Date
      2010-09-05
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces of type E72010

    • Author(s)
      Shigeru Mukai
    • Organizer
      Perspectives on Algebraic Varieties
    • Place of Presentation
      Trento (Italy)(招待講演)
    • Year and Date
      2010-09-08
    • Data Source
      KAKENHI-PROJECT-20654004
  • [Presentation] Enriques surfaces of type E72010

    • Author(s)
      向井茂
    • Organizer
      Perspectives on Algebraic Varieties
    • Place of Presentation
      Trento, Italy(招待講演)
    • Year and Date
      2010-09-08
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] K3 and Enriques surfaces(4 lectures)2010

    • Author(s)
      Shigeru Mukai
    • Organizer
      IMPNGA Summer School on Algebraic Geometry
    • Place of Presentation
      Bedlewo(Poland)(招待講演)
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces of type E72010

    • Author(s)
      Shigeru Mukai
    • Organizer
      Perspectives on Algebraic> Varieties
    • Place of Presentation
      Trento, Italy
    • Year and Date
      2010-09-08
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Enriques surfaces with many semi-symplectic automorphisms2010

    • Author(s)
      Shigeru Mukai
    • Organizer
      Komplexe Analysis
    • Place of Presentation
      Oberwolfach(Germany)(招待講演)
    • Year and Date
      2010-09-05
    • Data Source
      KAKENHI-PROJECT-20654004
  • [Presentation] Enriques surfaces of type E72010

    • Author(s)
      Shigeru Mukai
    • Organizer
      Compact Moduli
    • Place of Presentation
      Georgia Univ., Athens(USA)(招待講演)
    • Year and Date
      2010-10-23
    • Data Source
      KAKENHI-PROJECT-20654004
  • [Presentation] Enriques surfaces with many semi-symplectic automorphisms2010

    • Author(s)
      向井茂
    • Organizer
      Komplexe Analysis
    • Place of Presentation
      Stanford Univ., USA(招待講演)
    • Year and Date
      2010-09-05
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Polarized K3 surfaces of genus 162010

    • Author(s)
      Shigeru Mukai
    • Organizer
      Moduli spaces in Algebraic Geometry
    • Place of Presentation
      Mathematishes Forschungsinstitut Oberwolfach, Germany
    • Year and Date
      2010-01-12
    • Data Source
      KAKENHI-PROJECT-20654004
  • [Presentation] Polarized K3 surfaces of genus 16,"Moduli spaces in Algebraic Geometry"2010

    • Author(s)
      S. Mukai
    • Organizer
      Mathematishes Forschungsinstitut Oberwolfach
    • Place of Presentation
      Germany
    • Year and Date
      2010-01-12
    • Data Source
      KAKENHI-PROJECT-19104002
  • [Presentation] Enriques surfaces and root systems2010

    • Author(s)
      Shigeru Mukai
    • Organizer
      Fifth Pacific Rim Conference of Mathematics
    • Place of Presentation
      Stanford Univ., California (USA)(招待講演)
    • Year and Date
      2010-07-02
    • Data Source
      KAKENHI-PROJECT-20654004
  • [Presentation] K3 and Enriques surfaces (4 lectures)2010

    • Author(s)
      Shigeru Mukai
    • Organizer
      IMPNGA Summer School on Algebraic Geometry
    • Place of Presentation
      Bedlewo, (Poland)(招待講演)
    • Data Source
      KAKENHI-PROJECT-20654004
  • [Presentation] Enriques surfaces of type E72010

    • Author(s)
      Shigeru Mukai
    • Organizer
      Compact Moduli
    • Place of Presentation
      Georgia Univ., Athens, USA
    • Year and Date
      2010-10-23
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Enriques surfaces of type E72010

    • Author(s)
      Shigeru Mukai
    • Organizer
      Algebraic Geometry Symposium
    • Place of Presentation
      城崎(招待講演)
    • Year and Date
      2010-10-29
    • Data Source
      KAKENHI-PROJECT-20654004
  • [Presentation] Enriques surfaces and root systems2010

    • Author(s)
      向井茂
    • Organizer
      Fifth Pacific Rim Conference of Mathematics
    • Place of Presentation
      Stanford Univ., USA(招待講演)
    • Year and Date
      2010-07-02
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Simple Lie algebras and Legendre varieties2010

    • Author(s)
      Shigeru Mukai
    • Organizer
      Nilpotent orbits and representation theory
    • Place of Presentation
      Kyushu Univ
    • Year and Date
      2010-02-20
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] K3 and Enriques surfaces2010

    • Author(s)
      Shigeru Mukai
    • Organizer
      IMPNGA Summer School on Algebraic Geometry
    • Place of Presentation
      Bedlewo, Poland
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Enriques surfaces of type E72010

    • Author(s)
      Shigeru Mukai
    • Organizer
      Algebraic Geometry Symposium
    • Place of Presentation
      Kinosaki(城崎大会議館)
    • Year and Date
      2010-10-29
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Enriques surfaces of type E72010

    • Author(s)
      Shigeru Mukai
    • Organizer
      Perspectives on Algebraic Varieties
    • Place of Presentation
      Trento(Italy)(招待講演)
    • Year and Date
      2010-09-08
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces and root systems2010

    • Author(s)
      Shigeru Mukai
    • Organizer
      Fifth Pacific Rim Conference of Mathematics
    • Place of Presentation
      Stanford Univ., California, USA
    • Year and Date
      2010-07-02
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Enriques surfaces with many semi-symplectic automorphisms2010

    • Author(s)
      Shigeru Mukai
    • Organizer
      Komplexe Analysis
    • Place of Presentation
      Oberwolfach, Germany
    • Year and Date
      2010-09-05
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Enriques surfaces of type E72010

    • Author(s)
      Shigeru Mukai
    • Organizer
      Compact Moduli
    • Place of Presentation
      Georgia Univ., Athens(USA)(招待講演)
    • Year and Date
      2010-10-23
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces and root systems2010

    • Author(s)
      Shigeru Mukai
    • Organizer
      Fifth Pacific Rim Conference of Mathematics
    • Place of Presentation
      Stanford Univ., California(USA)(招待講演)
    • Year and Date
      2010-07-02
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Non-abelian Brill-Noether loci of curves and application to the unirationality of moduli of K3 surfaces2009

    • Author(s)
      S. Mukai
    • Organizer
      Moduli", Humboldt Univ.
    • Place of Presentation
      Berlin, Germany
    • Year and Date
      2009-08-28
    • Data Source
      KAKENHI-PROJECT-18204001
  • [Presentation] Non-abelian Brill-Noether loci of curves and application to the unirationality of moduli of K3 surfaces2009

    • Author(s)
      Shigeru Mukai
    • Organizer
      Moduli
    • Place of Presentation
      Humboldt Univ., Berlin, Germany
    • Year and Date
      2009-08-28
    • Data Source
      KAKENHI-PROJECT-20654004
  • [Presentation] Enriques surfaces associated with Richelot isognies2009

    • Author(s)
      Shigeru Mukai
    • Organizer
      Invariants of Algebraic Varieties
    • Place of Presentation
      東京大学
    • Year and Date
      2009-11-23
    • Data Source
      KAKENHI-PROJECT-20654004
  • [Presentation] Homologically trivial involutions and Shioda-Inose correspondences for U+U (2)2009

    • Author(s)
      Shigeru Mukai
    • Organizer
      Moduli and Discrete Groups
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-06-10
    • Data Source
      KAKENHI-PROJECT-20654004
  • [Presentation] Unirationality of moduli apaces of polaarized K3 surfaces2009

    • Author(s)
      S. Mukai
    • Organizer
      Algebraic Geometry Colloquium
    • Place of Presentation
      MSRI, Univ, of Califofnial Berkeley USA
    • Year and Date
      2009-02-20
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Unirationality of moduli spaces of polarized K3 surfaces, "Geometry of Algebraic Varieties"2009

    • Author(s)
      S. Mukai
    • Organizer
      Steklov Institute
    • Place of Presentation
      Moscow, Russia
    • Year and Date
      2009-06-30
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Numerically reflective involutions of Enriques surfaces2009

    • Author(s)
      Shigeru Mukai
    • Organizer
      Complex Algebraic Geometry
    • Place of Presentation
      Mathematishes Forschungsinstitut Oberwolfach, Germany
    • Year and Date
      2009-09-29
    • Data Source
      KAKENHI-PROJECT-20654004
  • [Presentation] Unirationality of moduli spaces of polarized K3 surfaces2009

    • Author(s)
      Shigeru Mukai
    • Organizer
      Geometry of Algebraic Varieties
    • Place of Presentation
      Steklov Institute, Moscow, Russia
    • Year and Date
      2009-06-30
    • Data Source
      KAKENHI-PROJECT-20654004
  • [Presentation] Cohomologically trivial involutions of Enriques surfaces and Shioda-Inose correspondence.2008

    • Author(s)
      S. Mukai
    • Organizer
      Algebraic Geometry
    • Place of Presentation
      Lorentz Center, Leiden the NetherlandS. Mukai
    • Year and Date
      2008-07-02
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Involutions of Enriqus surfaces2008

    • Author(s)
      . Mukai
    • Organizer
      Conference of Moduli Spaces
    • Place of Presentation
      Univ. of Warweck, UK
    • Year and Date
      2008-07-07
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Cohomologically trivial involutions of Enriques surfaces with application to Shioda-Inose structure2008

    • Author(s)
      Shigeru Mukai
    • Organizer
      Algebraic Geometry
    • Place of Presentation
      Lorentz Center, Leiden,the Netherland
    • Year and Date
      2008-07-02
    • Data Source
      KAKENHI-PROJECT-17340006
  • [Presentation] Cohomologically trivial involutions of Enriques surfaces and Shioda-Inose correspondence2008

    • Author(s)
      S. Mukai
    • Organizer
      Algebraic Geometry, Lorentz Center
    • Place of Presentation
      Leiden, the Netherland
    • Year and Date
      2008-07-02
    • Data Source
      KAKENHI-PROJECT-18204001
  • [Presentation] Invariants and moduli2008

    • Author(s)
      S. Mukai
    • Organizer
      Geometric Invariant Theory
    • Place of Presentation
      Univ. Gottingen. Germany
    • Year and Date
      2008-06-03
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Invariants and moduli2008

    • Author(s)
      S. Mukai
    • Organizer
      Geometric Invariant Theory
    • Place of Presentation
      Univ. Gottingen, Germany
    • Year and Date
      2008-06-03
    • Data Source
      KAKENHI-PROJECT-19104002
  • [Presentation] Polarized K3 surfaces of degree 322008

    • Author(s)
      Shigeru Mukai
    • Organizer
      Moduli Spaces
    • Place of Presentation
      Univ. of Warwick, UK
    • Year and Date
      2008-07-10
    • Data Source
      KAKENHI-PROJECT-17340006
  • [Presentation] Polarized K3 surfaces of degree 322008

    • Author(s)
      S. Mukai
    • Organizer
      Couference of Moduli Spaces
    • Place of Presentation
      Univ. of Warwick, UK
    • Year and Date
      2008-07-10
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Cohomologically trivial automorphisms of Enriques surfaces2007

    • Author(s)
      S. Mukai
    • Organizer
      ミラノ大学談話会
    • Place of Presentation
      ミラノ、伊
    • Year and Date
      2007-06-01
    • Data Source
      KAKENHI-PROJECT-17340006
  • [Presentation] Hilbert's 14th problem for the Kronecker quiver2007

    • Author(s)
      向井茂
    • Organizer
      Advances in algebra and geometry
    • Place of Presentation
      MSRI
    • Year and Date
      2007-04-30
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Geometric realization of T-shaped root systems and Jacobians of del Pezzo surfaces2007

    • Author(s)
      向井茂
    • Organizer
      Complex geometry in Osaka
    • Place of Presentation
      大阪大中之島センター
    • Year and Date
      2007-11-03
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Hilbert's 14th problem for the Kronecker quiver2007

    • Author(s)
      向井茂
    • Organizer
      Advances in algebra and geometry
    • Place of Presentation
      MSRI(米国)
    • Year and Date
      2007-04-30
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Enriques surfaces associated with bielliptic abelian surfaces2007

    • Author(s)
      向井茂
    • Organizer
      Algebraic and arithmetic structures of moduli spaces
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-04
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Enriques surfaces associated with bielliptic abelian surfaces2007

    • Author(s)
      S., Mukai
    • Organizer
      Algebraic and arithmetic structures of moduli spaces
    • Place of Presentation
      Hokkaido University (Japan)
    • Year and Date
      2007-09-04
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Hilbert's 14th problem and Verlinde type formulas for rings of invariant polynomials2007

    • Author(s)
      S., Mukai
    • Organizer
      Quwait lecture
    • Place of Presentation
      Cambridge Univ. (UK)
    • Year and Date
      2007-01-30
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Hilbert's 14th problem and Verlinde type formulas for certain linear actions of G_a^22007

    • Author(s)
      S., Mukai
    • Organizer
      Workshop Algebraic geometry and its application
    • Place of Presentation
      Sogang Univ. (Republic of Korea)
    • Year and Date
      2007-01-06
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Hilbert's 14th problem and Verlinde type formulas2007

    • Author(s)
      向井茂
    • Organizer
      Exploration of new structures and natural constructions in mathematical physics
    • Place of Presentation
      名古屋大学
    • Year and Date
      2007-03-08
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Geometric realization of T-shaped root systems and Jacobians of del Pezzo surfaces2007

    • Author(s)
      S. Mukai
    • Organizer
      Complex geometry in Osaka
    • Place of Presentation
      大阪大学
    • Year and Date
      2007-11-03
    • Data Source
      KAKENHI-PROJECT-17340006
  • [Presentation] Enriques surfaces covered by Kummer's quartics2007

    • Author(s)
      向井茂
    • Organizer
      Komplexe Algebraische Geometrie
    • Place of Presentation
      Oberwolfach, Germany
    • Year and Date
      2007-10-02
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Enriques surfaces covered by Kummer's quartics2007

    • Author(s)
      向井茂
    • Organizer
      Komplexe Algebraische Geometrie
    • Place of Presentation
      Oberwolfach(ドイツ)
    • Year and Date
      2007-10-02
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Hilbert's 14th problem and Verlinde type formulas2007

    • Author(s)
      S., Mukai
    • Organizer
      Exploration of new structures and natural constructions in mathematical physics
    • Place of Presentation
      Nagoya University (Japan)
    • Year and Date
      2007-03-08
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Enriques surfaces covered by Kummer's quartics2007

    • Author(s)
      S., Mukai
    • Organizer
      Komplexe Algebraische Geometrie
    • Place of Presentation
      Oberwolfach (Germany)
    • Year and Date
      2007-10-02
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Hilbert's 14th problem for the Kronecker quiver2007

    • Author(s)
      S., Mukai
    • Organizer
      Algebraic geometry in higher dimensions
    • Place of Presentation
      Trento (Italy)
    • Year and Date
      2007-06-08
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Hilbert's 14th problem for the Kronecker quiver2007

    • Author(s)
      S. Mukai
    • Organizer
      Algebraic geometry in higher dimensions
    • Place of Presentation
      Levico Terme (Trento), 伊
    • Year and Date
      2007-06-08
    • Data Source
      KAKENHI-PROJECT-17340006
  • [Presentation] Hilbert's 14th problem for the Kronecker quiver2007

    • Author(s)
      S. Mukai
    • Organizer
      Advances in algebra and geometry
    • Place of Presentation
      MSRI, USA
    • Year and Date
      2007-04-30
    • Data Source
      KAKENHI-PROJECT-17340006
  • [Presentation] Hilbert's 14th problem for the Kronecker quiver2007

    • Author(s)
      Shigeru Mukai
    • Organizer
      "Algebraic geometry in higher dimensions
    • Place of Presentation
      Levico Terme (Trento), Italy
    • Year and Date
      2007-06-08
    • Data Source
      KAKENHI-PROJECT-17340006
  • [Presentation] Hilbert's 14th problem and Verlinde type formulas for rings of invariant polynomials2007

    • Author(s)
      S. Mukai
    • Organizer
      Quwait lecture, Cambridge Univ.
    • Place of Presentation
      England
    • Year and Date
      2007-01-30
    • Data Source
      KAKENHI-PROJECT-18204001
  • [Presentation] Hilbert's 14th problem for the Kronecker quiver2007

    • Author(s)
      向井茂
    • Organizer
      Algebraic geometry in higher dimensions
    • Place of Presentation
      Trento(イタリア)
    • Year and Date
      2007-06-08
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Hilbert's 14th problem and Verlinde type formulas for certain linear actions of Ga^22007

    • Author(s)
      向井茂
    • Organizer
      研究集会"Algebraic geometry and its application"
    • Place of Presentation
      Sogang Univ.(大韓民国)
    • Year and Date
      2007-01-06
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Hilbert's 14th problem and Verlinde type formulas for rings of invariant polynomials2007

    • Author(s)
      Shigeru Mukai
    • Organizer
      Quwait lecture
    • Place of Presentation
      Cambridge Univ., England
    • Year and Date
      2007-01-30
    • Data Source
      KAKENHI-PROJECT-17340006
  • [Presentation] Hilbert's 14th problem for the Kronecker quiver2007

    • Author(s)
      S., Mukai
    • Organizer
      Advances in algebra and geoMetry
    • Place of Presentation
      MSRI (USA)
    • Year and Date
      2007-04-30
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Geometric realization of T-shaped root systems and Jacobians of del Pezzo surfaces2007

    • Author(s)
      S., Mukai
    • Organizer
      Complex geometry in Osaka
    • Place of Presentation
      Osaka University Nakanoshima Center
    • Year and Date
      2007-11-03
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Hilbert's 14th problem for the Kronecker quiver2007

    • Author(s)
      向井茂
    • Organizer
      Algebraic geometry in higher dimensions
    • Place of Presentation
      Trento, Italy
    • Year and Date
      2007-06-08
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Enriques surfaces covered by Kummer's quartics2007

    • Author(s)
      S. Mukai
    • Organizer
      Komplexe Algebraische Geometrie
    • Place of Presentation
      Oberwolfach, 独
    • Year and Date
      2007-10-02
    • Data Source
      KAKENHI-PROJECT-17340006
  • [Presentation] Enriques surfaces associated with bielliptic abelian surfaces2007

    • Author(s)
      S. Mukai
    • Organizer
      Algebraic and arithmetic structures of moduli spaces
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-04
    • Data Source
      KAKENHI-PROJECT-17340006
  • [Presentation] Hilbert's 14th problem and Verlinde type formulas for rings of invariant polynomials2007

    • Author(s)
      向井茂
    • Organizer
      Quwait lecture
    • Place of Presentation
      Cambridge Univ.(連合王国)
    • Year and Date
      2007-01-30
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] A generali zation of Mumford's example (joint work with H. Nasu)2006

    • Author(s)
      S. Mukai
    • Organizer
      Classical Algebraic Geometry
    • Place of Presentation
      Oberwolfach
    • Year and Date
      2006-06-14
    • Data Source
      KAKENHI-PROJECT-18204001
  • [Presentation] 代数曲面2006

    • Author(s)
      向井茂
    • Organizer
      トポロジーと代数幾何
    • Place of Presentation
      蔵王
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] A generalization of Mumford's example (joint work with H. Nasu)2006

    • Author(s)
      S., Mukai
    • Organizer
      Classical Algebraic Geometry
    • Place of Presentation
      Oberwolfach (Germany)
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Hilbert's 14th problem and Verlinde type formulas for certain linear actions of G_a^22006

    • Author(s)
      S., Mukai
    • Organizer
      Moduli spaces and vector bundles
    • Place of Presentation
      Guanajuato (Mexico)
    • Year and Date
      2006-12-14
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Hilbert's 14th problem and Verlinde type formulas for certain linear actions of Ga^22006

    • Author(s)
      向井茂
    • Organizer
      Moduli spaces and vector bundles
    • Place of Presentation
      Guanajuato(メキシコ)
    • Year and Date
      2006-12-14
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Algebraic surfaces2006

    • Author(s)
      S., Mukai
    • Organizer
      Topology and algebraic geometry
    • Place of Presentation
      Zao (Japan)
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] A generalization of Mumford's example(joint work with H. Nasu)2006

    • Author(s)
      向井茂
    • Organizer
      Classical Algebraic Geometry
    • Place of Presentation
      Oberwolfach(ドイツ)
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Geometric proof of finite generation of certain rings of invariants2005

    • Author(s)
      S., Mukai
    • Organizer
      Complex Algebraic Geometry
    • Place of Presentation
      Oberwolfach (Germany)
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Hilbert's original 14th problem and certain moduli spaces2005

    • Author(s)
      S., Mukai
    • Organizer
      AMS Summer Institute on Algebraic Geometry
    • Place of Presentation
      Seattle (USA)
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Geometric proof of finite generation of certain rings of invariants2005

    • Author(s)
      向井茂
    • Organizer
      Complex Algebraic Geometry
    • Place of Presentation
      Oberwolfach(ドイツ)
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Hilbert's original 14th problem and certain moduli spaces2005

    • Author(s)
      Shigeru Mukai,
    • Organizer
      AMS Summer Institute on Algebraic Geometry
    • Place of Presentation
      Seattle, U.S.A
    • Data Source
      KAKENHI-PROJECT-17340006
  • [Presentation] Numerically trivial involutions of Enriques surfaces2005

    • Author(s)
      S., Mukai
    • Organizer
      Workshop Compactification of moduli
    • Place of Presentation
      Nagoya University (Japan)
    • Year and Date
      2005-09-29
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] On the original fourteenth problem of Hilbert2005

    • Author(s)
      向井茂
    • Organizer
      Asian Cong. Math.
    • Place of Presentation
      Singapore National Univ.(シンガポール)
    • Year and Date
      2005-07-22
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Numerically trivial involutions of Enriques surfaces2005

    • Author(s)
      向井茂
    • Organizer
      研究集会「モジュライのコンパクト化」
    • Place of Presentation
      名古屋大学
    • Year and Date
      2005-09-29
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Hilbert's original 14th problem and certain moduli spaces2005

    • Author(s)
      向井茂
    • Organizer
      AMS Summer Institute on Algebraic Geometry
    • Place of Presentation
      Seattle(米国)
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] On the original fourteenth problem of Hilbert2005

    • Author(s)
      S., Mukai
    • Organizer
      Asian Cong. Math
    • Place of Presentation
      Singapore National Univ(Singapore)
    • Year and Date
      2005-07-22
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Finite and infinite generation of Nagata invariant rings2004

    • Author(s)
      向井茂
    • Organizer
      Classical Algebraic Geometry
    • Place of Presentation
      Oberwolfach(ドイツ)
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Moduli of vector bundles with emphasis on invariant theoretic part2004

    • Author(s)
      S., Mukai
    • Organizer
      SJ-IRI symposium Moduli spaces and arithmetic geometry
    • Place of Presentation
      Kyoto University (Japan)
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Umemura's 3-fold of degree 222004

    • Author(s)
      S., Mukai
    • Organizer
      Workshop Painleve equations and algebraic varieties
    • Place of Presentation
      Nagoya University(Japan)
    • Year and Date
      2004-12-04
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Umemura's 3-fold of degree 222004

    • Author(s)
      向井茂
    • Organizer
      Painleve方程式と代数多様体
    • Place of Presentation
      名古屋大学
    • Year and Date
      2004-12-04
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Finite and infinite generation of Nagata invariant rings2004

    • Author(s)
      S., Mukai
    • Organizer
      Classical Algebraic Geometry
    • Place of Presentation
      Oberwolfach (Germany)
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Moduli of vector bundles with emphasis on invariant theoretic part2004

    • Author(s)
      向井茂
    • Organizer
      MSJ-IRI研究集会「モジュライ空間と数論的幾何」
    • Place of Presentation
      京都大学
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Enriques surfaces with many semi-symplectic automorphisms

    • Author(s)
      Shigeru Mukai
    • Organizer
      Komplexe Analysis
    • Place of Presentation
      Oberwolfach, Germany
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Fano 3-folds, moduli and automorphism groups etc.

    • Author(s)
      S. Mukai
    • Organizer
      The 6th MSJ-SI -- Development of Moduli Theory
    • Place of Presentation
      京都大学数理解析研究所(京都)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Enriques surfaces and cubic 4-folds with action of M10

    • Author(s)
      Shigeru Mukai
    • Organizer
      Symplectic Algebraic Geometry
    • Place of Presentation
      関西セミナーハウス
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Enriques surfaces and integral lattices

    • Author(s)
      S. Mukai
    • Organizer
      Arithmatic and Algebraic Geometry 2012
    • Place of Presentation
      東京大学大学院数理科学研究科(東京都)
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Enriques surfaces of type E7

    • Author(s)
      Shigeru Mukai
    • Organizer
      Compact Moduli
    • Place of Presentation
      Georgia Univ., Athens
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Fano 3-folds, moduli and automorphism groups etc.

    • Author(s)
      Shigeru Mukai
    • Organizer
      The 6th MSJ-SI ― モジュライ理論の発展
    • Place of Presentation
      京都大学数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Enriques surfaces as neighbors of rational surfaces and vice versa

    • Author(s)
      Shigeru Mukai
    • Organizer
      複素代数幾何
    • Place of Presentation
      Oberwolfach 数学研究所(ドイツ)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] K3 and Enriques surfaces

    • Author(s)
      Shigeru Mukai
    • Organizer
      IMPNGA Summer School on Algebraic Geometry
    • Place of Presentation
      Bedlewo, Poland
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces of type E7

    • Author(s)
      Shigeru Mukai
    • Organizer
      Algebraic Geometry Symposium
    • Place of Presentation
      Kinosaki
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Invariant theory and geometry - Hilbert's 14th problem, Nagata's counter example and beyond

    • Author(s)
      Shigeru Mukai
    • Organizer
      Center for Mathematical Challenge 開所記念講演会
    • Place of Presentation
      韓国科学技術高等研究所(KAIST, Korean Advanced Institute of Science and Technology)(韓国)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] K3, Enriques曲面とルート系について

    • Author(s)
      Shigeru Mukai
    • Organizer
      第12回岡シンポジウム
    • Place of Presentation
      奈良女子大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Automorphisms of Enriques surfaces and the Mathieu group M12

    • Author(s)
      S. Mukai
    • Organizer
      Periods and Moduli
    • Place of Presentation
      Seoul, Korea
    • Invited
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Simple Lie algebras and Legendre varieties

    • Author(s)
      Shigeru Mukai
    • Organizer
      Nilpotent orbits and representation theory
    • Place of Presentation
      Kyushu Univ.
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] K3, Enriques曲面とルート系について

    • Author(s)
      Shigeru Mukai
    • Organizer
      第12回岡シンポジウム
    • Place of Presentation
      奈良女子大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces

    • Author(s)
      Shigeru Mukai
    • Organizer
      代数幾何学コンファレンス
    • Place of Presentation
      Amsterdam 大学(Nederland)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] K3 surfaces of genus 17

    • Author(s)
      S. Mukai
    • Organizer
      Conference on Moduli Spaces
    • Place of Presentation
      Cambridge, UK
    • Invited
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] K3, Enriques曲面とルート系について

    • Author(s)
      向井 茂
    • Organizer
      第12回岡シンポジウム
    • Place of Presentation
      奈良女子大学 (奈良)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Enriques surfaces and cubic 4-folds with action of M10

    • Author(s)
      Shigeru Mukai
    • Organizer
      Symplectic Algebraic Geometry
    • Place of Presentation
      関西セミナーハウス
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces of type E7

    • Author(s)
      Shigeru Mukai
    • Organizer
      Perspectives on Algebraic Varieties
    • Place of Presentation
      Trento, Italy
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces as neighbors of rational surfaces and vice vers

    • Author(s)
      向井 茂
    • Organizer
      複素代数幾何
    • Place of Presentation
      Oberwolfach 数学研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Fano 3-folds, moduli and automorphism groups etc.

    • Author(s)
      Shigeru Mukai
    • Organizer
      モジュライ理論の発展
    • Place of Presentation
      京都大学数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Invariant theory and geometry - Hilbert's 14th problem, Nagata's counter example and beyond

    • Author(s)
      向井 茂
    • Organizer
      Center for Mathematical Challenge 開所記念講演会
    • Place of Presentation
      韓国科学技術高等研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Orthogonal Grassmannians and K3 surfaces of genus 18

    • Author(s)
      S. Mukai
    • Organizer
      Algebraic Geometry of higher dimensional varieties and vector bundles
    • Place of Presentation
      Kyushu University, Fukuoka, Japan
    • Invited
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Enriques surfaces with 720 symmetries

    • Author(s)
      S. Mukai
    • Organizer
      Lazarsfeld 教授還暦記念代数幾何学研究集会
    • Place of Presentation
      University of Michigan (USA)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Enriques surfaces

    • Author(s)
      Shigeru Mukai
    • Organizer
      代数幾何学コンファレンス
    • Place of Presentation
      Amsterdam 大学, Nederland
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Enriques surfaces

    • Author(s)
      向井 茂
    • Organizer
      代数幾何学コンファレンス
    • Place of Presentation
      Amsterdam 大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Enriques surfaces and root systems

    • Author(s)
      Shigeru Mukai
    • Organizer
      Fifth Pacific Rim Conference of Mathematics
    • Place of Presentation
      Stanford Univ., California
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces with 720 symmetries

    • Author(s)
      Shigeru Mukai
    • Organizer
      Lazarsfeld 教授還暦記念代数幾何学研究集会
    • Place of Presentation
      Michigan 大学(USA)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340007
  • [Presentation] Enriques surfaces and root systems

    • Author(s)
      S. Mukai
    • Organizer
      Arithmetic and Geometry of K3 surfaces and Calabi-Yau Threefolds
    • Place of Presentation
      The Fields Inst. Res. Math. Sci., Toronto, Canada
    • Invited
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Enriques surfaces as neighbors of rational surfaces and vice vers

    • Author(s)
      S. Mukai
    • Organizer
      Complex Algebraic Geometry
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach (Oberwolfach, Germany)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Invariant theory and geometry - Hilbert's 14th problem, Nagata's counter example and beyond

    • Author(s)
      Shigeru Mukai
    • Organizer
      Center for Mathematical Challenge 開所記念講演会
    • Place of Presentation
      韓国科学技術高等研究所(KAIST, Korean Advanced Institute of Science and Technology), 韓国
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Enriques surfaces with 720 symmetries

    • Author(s)
      向井 茂
    • Organizer
      Lazarsfeld 教授還暦記念代数幾何学研究集会
    • Place of Presentation
      Michigan 大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244003
  • 1.  NAMIKAWA Yukihiko (20022676)
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