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Katsura Toshiyuki  桂 利行

ORCIDConnect your ORCID iD *help
… Alternative Names

KATSURA Toshiyuki  桂 利行

金子 晃  カネコ アキラ

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Researcher Number 40108444
Other IDs
External Links
Affiliation (Current) 2022: 東京大学, 大学院数理科学研究科, 特任教授
Affiliation (based on the past Project Information) *help 2019 – 2020: 東京大学, 大学院数理科学研究科, 特任教授
2008 – 2018: 法政大学, 理工学部, 教授
2015: 法政大学, 経営システム工学科, 教授
2009: 東大, 数理(科)学研究科(研究院), 教授
1992 – 2008: 東京大学, 大学院・数理科学研究科, 教授 … More
2005 – 2006: 東京大学, 大学院数理科学研究科, 教授
1996: Univ of Tokyo., Math.Dept., Professor, 大学院数理解科学研究科, 教授
1995: 東京大学, 数理科学研究科, 教授
1994: 東京大学, 大学院数理科学研究科, 教授
1992: 東京大学, 大学院・数理科学研究科, 助教授
1992: 東京大学, 数理, 教授
1992: 東京大学, 数理科学研究科, 教授
1991: お茶の水女子大, 理学部, 助教授
1988 – 1990: お茶の水女子大学, 理学部, 助教授
1987: 横浜市立大学, 文理学部, 助教授 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra / 代数学・幾何学 / Basic Section 11010:Algebra-related
Except Principal Investigator
Algebra / 代数学・幾何学 / 解析学 / Algebra / Global analysis / Geometry
Keywords
Principal Investigator
正標数 / カラビ・ヤウ多様体 / K3曲面 / モジュライ空間 / 楕円曲面 / 代数多様体 / 符号 / アーベル曲面 / アーベル多様体 / Hamming code … More / モジュライ / 代数幾何 / イリュージー層 / 準楕円曲面 / チャウ群 / ハイト / 代数曲線 / 超特殊 / 標数p / 楕円曲線 / wild fibre / 標準因子 / トーリック多様体 / 数論幾何 / チャーン類 / 超曲面 / 国際研究者交流(オランダ) / クンマー曲面 / アルチン不変量 / ネロン・セヴェリ群 / 超特異 / code / moduli space / Calabi-Yau manifold / K3 surface / 形式的ブラウワー群 / カルチエ作用素 / ピカール数 / フロベニウス写像 / Cartier operator / アルチン・メイザー形式群 / Enriques曲面 / 自己同型群 / 有理曲面 / ア-ベル多様体 / カルチエ作用表 / 多重種数 / ベクトル場 / 重複ファイバー / 有理ベクトル場 / 主偏極 / 四元数環 / 符号理論 / RS符号 / RM符号 / [n,k,d]符号 / Maninの定理 / 完全孤立 / 孤立半径 / Golay code / 線型符号 / モノドロミー / p-進ホッジ理論 / 普遍族 / コモホロジー群 / コホモロジー群 / a数 / ミラー対称性 / ピカール群 / アルチン・メーザー形式群 / 代数的サイクル / 代数学 / 起特異 / configuration / ケンマー曲面 / サイクル / 変形 / 有理曲線 / 直線配置 / リーチ格子 / ピカール格子 / 代数幾何学 / Hamming符号 / 偏極 / Mordell-Weil格子 / 多項式 / p-進一意化 / 形式群 / Golay符号 / Hodge理論 / 特異点 / ミラーシンメトリー / 量子コホモロジー / 共形場理論 / P進一意化 / 群スキーム / algebraic geemetry / polarigation / Mordell-Weil lattice / ハミング符号 / カルチェ作用素 / 高さ / K^3曲面 / 形式的ブラウアー群 / K3 purface / modulic space / formal Brauer group / Chem class / Artin invariant / 暗号 / ド・ラムコホモロジー群 / ホッジフィルトレーション / a-数 / モジュウイ空間 / 公開鍵暗号 / 量子計算機 / NP問題 / Positive characteristic / Artin-Mazur formal group / Moduli space / Chow group / Calabi-Yau variety / Abelian surface / Cryptography / モーテル・ヴェイユ格子 / 擬射影平面 / リジッド幾何 / モーデル・ヴェイユ格子 / アルチン予想 / 中間ヤコビ多様体 / フェルマー多様体 / elliptic surface / Abelian varietv / Mordell-Weil group / height / Illusie sheaf / 代数曲面 / nordal曲線 / 標数正 / 多重線形系 / Calabi-Yau多様体 / 単有理 / Lefschetz pencil / Zariski曲面 / nodal curve / 有限自己同形群 / Lattice / vector field / Jacobi多様体 / Richelot isogeny / Coble曲面 / エンリケス曲面 … More
Except Principal Investigator
モジュライ空間 / 共形場理論 / 代数多様体 / パンルヴェ方程式 / アーベル多様体 / モジュライ / 極小モデル / 3次元多様体 / Chow群 / 数論幾何学 / Calabi-Yau多様体 / 楕円曲線 / コンパクト化 / 安定性 / ミラー対称性 / 標準因子 / 導来圏 / トーリック多様体 / 無限可積分系 / 保型形式 / 超幾何関数 / 位相的場の理論 / Stability / K3曲面 / カラビ・ヤウ多様体 / 可積分系 / ガルニエ系 / 対称性 / フリップ / 代数的サイクル / Hodge理論 / 藤田予想 / マッカイ対応 / Abelian variety / Painleve equations / 消滅定理 / 共形場 / タイヒミュラー群 / 可解格子模型 / 量子群 / 不連続群 / 写像類群 / 位相場の理論 / 混合モチーフ / 代数的対応 / レベルN構造 / Abel多様体 / Abel 多様体 / アーベル曲面 / Artin-Mazur形式群 / 非線型完全積分可能系 / 代数解 / 非線型可積分系 / 連接層 / 単純特異点 / カラビヤウ多様体 / 半正値性定理 / フロップ / スタック / モチフィックコホモロジー / p進Hodge理論 / 高次元類体論 / ホッヂ理論 / P進Hodge理論 / 加藤予想 / Higgs束 / ベクトル束 / 代数幾何学 / 変形理論 / 複素シンプレクティック多様体 / 組みひも群 / ウィッテン不変量 / バシリエフ不変量 / モノドロミー表現 / Conformal field theory / braid group / Chern-Simons theory / Vassiliev invariants / Moduli space / conformal field theory / moduli space / 代数曲線 / KZ方程式 / 表現論 / 固定点自由化定理 / 小平次元 / 標準特異点 / 特異点 / McKay対応 / 商特異点 / McKay correspondence / ベックルント変換 / 初期値空間 / Garnier systems / symmetries / 高次Abel-Jacobi写像 / ホッジ理論 / ホッジ構造 / algebraic variety / flip / 導手公式 / 二次超曲面 / ファノ多様体 / 2次超曲面 / 曲率テンソル / 概複素構造 / 概ケ-ラ-空間 / 共形平坦 / 局所共形ケ-ラ-空間 / 惰性指数 / ヂリクレ-問題 / ディオファントス問題 / 代数多様体の有理点 / ア-ベル多様体 / 連結グラフ / 数論幾何 / リーマン面の写像類群 / Jones-Witten不変量 / Casson不変量 / 位相場理論 / 数論的代数幾何学 / 種数 / ユニタリ表現 / 有限群 / p-ブロック / 不足群 / 楕性剰余群 / モジュラー表現 / 3・4次元多様体 / 不変量 / 結び目 / 芽形場理論 / ゲージ理論 / 鏡多様体 / モデュライ空間 / 球関数 / Chow群上のフィルター / ホッヂ構造(のvariation) / 完全交差多様体 / 小平・Spencer写像 / アーベル ヤコビ写像 / 微分方程式 / 離散化 / 数値解析 / 誤差解析 / 有限要素法 / 数値実験 / 完全積分可能系 / 離散パンルヴェ方程式 / ソリトンカルオートマトン / 超離散系 / 双一次型式 / 無限自由度の可積分系 / KZB方程式 / バンレヴェ方程式 / 閉軌道空間 / 点付き代数曲線 / スペクトル幾何学 / ハイゼンベルク代数 / 代数的可程分系 / p-解析 / p-線型微分方程式 / 古典函数 / 代数的可積分系 / p-線型方程式 / ソリトン方程式 / 差分系 / 9-差分系 / 超離散化 / 代数的ファイバー空間 / 半直交分解 / 極小モデル・プログラム / 混合ホッジ構造 / 標準環 / 境界因子 / 対数対 / 巨大因子 / 端射線 / termination / abundance / difficulty / 代数的フアイバー空間 / 高次Chow軍 / Abelの定理 / ススリンホモロジー / エタールコホモロジー / p-進ホッヂ理論 / 有限性 / 数論的多様体 / レギュレーター写像 / 混合Hodge加群 / モチフィツクコホモロジー / Hodge構造の無限小変動 / 有限性定理 / Hasse原理 / Bloch-Ogusの理論 / ホモロジー理論 / 代数幾何 / Jordanフィルトレーショ / チャン類 / Boomolov-Gieseker不等式 / 変形 / 標準計量 / 代数曲面 / 高次元代数多様体 / ヒッグズ束 / 作用付きベクトル束 / 一般型代数曲面 / 曲線の次数評価 / ABC 予想 / 安定Higgo束 / _Bogomolov-Yau-Simpson不等式 / Chern 類 / ABC予想 / Bogomolov-Yau-Simpson不等式 / Chern類 / 複素シンブレクティック多様体 / 不安定積空間 / 冨田の三角行列 / 不変極大非負荷部分空間 / フィリッブスの問題 / 量子化された群 / 正作用素 / スペクトル性 / C^*一代数 / シンプレックス空間 / Korovkin型定理 / Feynman積分 / 双曲型方程式 / 共形場の理論 / チャーンサイモンズ理論 / 降中心列 / 結び目理論 / braid group組紐群 / mapping class goup写像類群 / 3ーmanifold3次元多様体 / conformal field theory共形場理論 / quantum group量子群 / solvable lattice models可解格子模型 / moduli of riemann surfacesリ-マン面のモジュライ空 / 3-manifold / Witten invariant / Quantum groups / チャーン・サイモンズ理論 / バジリエフ不変量 / ファインマン図形 / ファイマンダイアグラム / topological field theory / Witten invariants / Feynman diagrams / 共形場ブロックベクトル束 / 点付きリーマン面 / q類似 / 弦理論 / ベクトル束のモジュライ空間 / リーマン面のモジュライ空間 / 単純リイ代数 / ゲージ対称性 / 閉リーマン面 / 共形場ブロック / 楕円曲面 / conformalblock vector bundle / Calabi-Yaumanifold / pointed Riemannsurface / arithmeticgeometry / q-analog / 代数学 / 代数的整数論 / 代数的組み合わせ論 / 可換理論 / 解析的整数論 / 代数的組み合せ論 / 可換環論 / 可挽環論 / 代数群 / Algebra / Algebraic Number Theory / Algebraic Combinatorics / Commutative ring theory / Modular forms / Representation Theory / Aralytic Number Theory / 対数的標準特異点 / カラビ・ヤウ / 数値的同値 / 豊富因子の錘体 / 可動因子 / 射影多様体 / 因子 / 固定点 / 有理特異点 / 安定曲線 / Calabi-Yau / higher dimensional algebraic varieties / numerical geometry / divisors / intersection numbers / cones / Fujita conjectures / Mirror synmetriy / Mackey反応 / ヒルベルト スキーム / スタビリィティ(安定性) / ヒルベルトスキーム / マッケイ対応 / ツイスター空間 / ハイパーケーラー多様体 / モノドロミ- / 横断性定理 / Representation / Singularity / Simple singularity / moduli / 可換環 / 計算幾何 / 組合せ論 / モーデルベイユ格子 / グレーブナー基底 / アインシュタイン計量 / Algebraic geometry / Algebraic variety / Toric variety / Commutative algebra / Computational geometry / 双線形型式 / アフィンワイル群 / 非線型完全積可能系 / 双称形型式 / 非線完全積分可能系 / 双線形形式 / 完全積分可能素 / 組み合わせ論 / 多変数特殊関数 / パンルヴェ階層 / 非線形完全積分可能系 / 代数幾何学符号 / シューア関数 / KP方程式 / 離散化と超離散化 / ソリトンセルオートマトン / Integrable system / Nonliear CIS / Bilinear Forms / Affine Weyl groups / Backlund Trqnsformation / チャウ群 / アーベル・ヤコビ写像 / アーベルの定理 / ホッヂ構造 / 周期積分 / Abol-Jacobi写像 / Griffithsの定理 / ノーマル ファンクション / Griffiths群 / 混合ホッヂ構造 / トレリ問題 / algebraic cycles / Chow gruop / Abel-Jacobi map / Abel's theorem / Hodge structure / 多重標準形式 / 対数的多重標準形式 / 乗数イデアル層 / 変形族 / 多重種数 / 半正値性 / alsebraic variety / pluricanonical form / Kodaira dimension / logarithmic form / multiplier ideal / canonical singularity / deformation / plurigenus / 非消滅定理 / 極小多様体 / 対数的標準因子 / 層 / オービフォルド / 可逆層 / KLT / 非消滅予想 / 線型系 / non-vanishing theorem / minimal variet / semipositivity theorem / Fujita conjecture / log canonical divisor / vanishing theorem / ハセ・ゼータ関数 / 岩澤理論 / BSD予想 / 導手 / log幾何 / Birch Swinnerton-Dyer予想 / Hodge構造 / log代数多様体 / 退化 / SL(2)-orbit / 代数体 / エタール・コホモロジー / 微分加群 / 対数的アーベル多様体 / リーマン・ヒルベルト対応 / Harse zeta function / moduler forms / Iwasawa theory / abelian variety / BSD conjecture / conductor / log geometry / トーリック幾何 / セルバーグ積分 / 多重ゼータ値 / トーリック幾何学 / Hypergeometric functions / Toric geometry / Selberg integral / Multiple Zeta Value / データ関数 / 余不変代数 / Quiver多様体 / テータ関数 / 余不変式環 / Griffiths領域 / Floer homology / 一般化Whittaker模型 / Moduli / Compactification / Theta function / Calabi-Yau Manifolds / Coinvariant algebra / Quiver variety / 複素シンプレクティック / 双有理射 / ファイバー構造 / 射影空間 / 三次元ファノ多様体 / 高次元多様体 / 正則写像 / 変形同値類 / 有利曲線族 / 双有理写像 / 完全可積分ハミルトン系 / 大域剛性 / モディライ空間 / 複素トーラス / Q-ファノ多様体 / complex symplectic / birational morphism / fiber space structure / projective space / hyperquadrics / Fano 3-folds / モジュラー函手 / 剛幾何学 / 政論幾何学 / 無限次元代数 / ヤコビ多様体 / 曲線の退化 / 重複ファイバー / タイヒミュラー空間 / ワイル群 / 遠アーベル幾何学 / Rigid幾何学 / モジュライ函手 / p進解析空間 / 幾何学的クリスタル / 3次元多様体の不変量 / リー代数 / p進微分方程式 / Integrable systems with infinite degrees of freedom / Modular functor / Topological field theory / Rigid geometry / Arithmetic geometry / 非線形可積分系 / 双一次形式 / τ関数 / 離散系 / バンルヴェ方程式 / 折り畳み変換 / ホロノミック変形 / ルート系 / 双有理正準変換 / nonlinear integrable systems / bilinear forms / τ-functions / space of initial conditions / discrete systems / 双有理 / 極小モデル理論 / グラスマン多様体 / 双有理幾何学 / 双有理同値 / K同値 / D同値 / minimal model / derived category / birational / toric variety / stack / flop / 有限性予想 / 特異点解消 / Chow群の有限性 / 高次Chow群 / Bloch-加藤予想 / Beilinson予想 / P進ホッヂ理論 / 高次アーベルヤコビ写像 / ベイリンソン予想 / 高次チャウ群 / motivic cohomology / finiteness conjecture / Kato conjecture / resolution of singularities / 有理曲線族 / 一般型曲面 / ラング予想 / 標準次数 / 標準的高さ / 3次曲面 / 対称空間 / モジュラー関数 / ログ幾何学 / Fano manifolds / Family of rational curves / Quadric hypersurfaces / Surfaces of general type / Conjecture of Green-Griffiths-Lang / Canonical degrees / フレア理論 / 超平面配置 / ゼータ関数 / モジュライ理論 / 超幾何級数 / ガンマ関数 / Fleor理論 / ハミルトン構造 / 量子コホモロジー / ガウス分布 / 半アーベル群スキーム / 双対分割定理 / 非可換ゼータ関数 / レベル構造 / 既約表現 / 整モデル / symplectic 多様体 / Witt 環 / 有限群スキーム / Floer理論 Less
  • Research Projects

    (59 results)
  • Research Products

    (138 results)
  • Co-Researchers

    (141 People)
  •  Mathematics on Calabi-Yau manifolds and related topicsPrincipal Investigator

    • Principal Investigator
      桂 利行
    • Project Period (FY)
      2020 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      The University of Tokyo
  •  Arithmetic of algebraic varieties with trivial canonical bundlePrincipal Investigator

    • Principal Investigator
      Katsura Toshiyuki
    • Project Period (FY)
      2015 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
      Hosei University
  •  Arithmetic and Geometry over Calabi-Yau VarietiesPrincipal Investigator

    • Principal Investigator
      KATSURA Toshiyuki
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hosei University
  •  Geometric moduli theory and its theoretical applications

    • Principal Investigator
      Nakamura Iku
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  Study on algebraic varieties related to moduli spaces and algebraic cyclesPrincipal Investigator

    • 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
  •  Hodge theoretic and arithmetic aspects of algebraic cycles

    • Principal Investigator
      SAITO Shuji
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Reviews, developments and applications of the minimal model theorem

    • Principal Investigator
      MIYAOKA Yoichi
    • Project Period (FY)
      2006 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Research on canonical divisors of higher dimensional algebraic varietie

    • Principal Investigator
      KAWAMATA Yujiro
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Study of gemetric properties and arithmetic properties of higher dimenional algebraic varieties.

    • Principal Investigator
      MIYAOKA Yoichi
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  正標数の高次元カラビ・ヤウ多様体の研究Principal Investigator

    • Principal Investigator
      桂 利行
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Arithmetic of Algebraic Varieties and their Moduli SpacesPrincipal Investigator

    • Principal Investigator
      KATSURA Toshiyuki
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Geometry of integrable systems with infinite degrees of freedom and new development of moduli theory.

    • Principal Investigator
      UENO Kenji
    • Project Period (FY)
      2002 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Mathematical Studies on the Painleve equations

    • Principal Investigator
      OKAMOTO Kazuo
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Global analysis
    • Research Institution
      the University of Tokyo
  •  Research on canonical divisors of higher dimensional algebraic varieties

    • Principal Investigator
      KAWAMUTA Yujiro
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Algebraic Cycles and Higher Abel-Jacobi map

    • Principal Investigator
      SAITO Shuji
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Graduate School of Mathematical Sciences, University of Tokyo
      Nagoya University
  •  代数的可積分系のP-解析的手法による研究

    • Principal Investigator
      岡本 和夫
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Global analysis
    • Research Institution
      The University of Tokyo
  •  非線形可積分系の理論

    • Principal Investigator
      岡本 和夫
    • Project Period (FY)
      2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      The University of Tokyo
  •  数論的代数幾何の研究Principal Investigator

    • Principal Investigator
      桂 利行
    • Project Period (FY)
      2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  数論的幾何学に関するドイツとの国際共同研究に関する企画調査

    • Principal Investigator
      上野 健爾
    • Project Period (FY)
      2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  A STUDY ON THE GEOMETRY OF MODULI SPACES

    • Principal Investigator
      NAKAMURA Iku
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Complex symplectic manifolds and related topics

    • Principal Investigator
      MIYAOKA Yoichi
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
      Kyoto University
  •  Studies on agebraic geometry in positive characteristic, coding theory and cryptographyPrincipal Investigator

    • Principal Investigator
      KATSURA Toshiyuki
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  モジュライのコンパクト化と閉軌道空間

    • Principal Investigator
      NAKAMURA Iku
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  モジュライ空間の幾何学に関するオランダとの国際共同に関する企画調査

    • Principal Investigator
      上野 健爾
    • Project Period (FY)
      1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Research on log canonical divisors on higher dimensional algebraic varieties

    • Principal Investigator
      KAWAMATA Yujiro
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Iwasawa theory of Harse zeta functions

    • Principal Investigator
      KATO Kazuya
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
      The University of Tokyo
  •  Variation of Hodge structures and hypergeometric functions

    • Principal Investigator
      TERASOMA Tomohide
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of Tokyo
  •  数論的代数幾何学に関するオランダとの国際共同に関する企画調査

    • Principal Investigator
      上野 健爾
    • Project Period (FY)
      1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Studies on Algebraic Geometry and Coding TheoryPrincipal Investigator

    • Principal Investigator
      KATSURA Toshiyuki
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of Tokyo
  •  パンルヴェ方程式の数理

    • Principal Investigator
      岡本 和夫
    • Project Period (FY)
      1997
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  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
  •  Synthetic Research on nonlinear complete integrable systems and combinatorics

    • Principal Investigator
      OKAMOTO Kazuo
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  Algebraic Cycles on Algebraic Varieties

    • Principal Investigator
      SAITO Shuji
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  Studies on Hodge Theory and Hypergeometric Functions

    • Principal Investigator
      KAWAMATA Yujiro
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      THE UNIVERASITY OF TOKYO
  •  符号理論、格子理論と正標数の代数多様体Principal Investigator

    • Principal Investigator
      桂 利行
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Study of singularities and geometry by means of representation theory

    • Principal Investigator
      NAKAMURA Iku
    • Project Period (FY)
      1996 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  正標数の代数多様体と符号理論Principal Investigator

    • Principal Investigator
      桂 利行
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  モジェライ空間と不連続群の整数論的研究

    • Principal Investigator
      織田 孝幸
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  代数多様体上の代数的サイクルの研究

    • Principal Investigator
      斉藤 秀司
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  ホッジ理論と数論的類似

    • Principal Investigator
      TERASOMA Tomohide
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  微分方程式の数値解析の研究

    • Principal Investigator
      菊地 文雄
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  Orenall Study on Algebraic Varieties and its ApplicationsPrincipal Investigator

    • 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
  •  The research of algebra as fundamental tools of Mathematical Science

    • Principal Investigator
      KOIKE Masao
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      KYUSHU UNIVERSITY
  •  Research of higher dinendional algebraic varaieties

    • Principal Investigator
      KAWAMATA Yujiro
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      the University of Tokyo
  •  正標数の楕円曲面の研究Principal Investigator

    • Principal Investigator
      桂 利行
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Topological invariants related to field theory

    • Principal Investigator
      KOHNO Toshitake
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  無限自由度の可積分系と関連する幾何学

    • Principal Investigator
      松本 尭生 (松本 堯生)
    • Project Period (FY)
      1993 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Hiroshima University
  •  代数曲線のモジュライ空間と共形場理論Principal Investigator

    • Principal Investigator
      桂 利行
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  無限自由度の可積分系と関連する幾何学

    • Principal Investigator
      松本 尭生
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Hiroshima University
  •  数理物理学への応用を見込んだ代数幾何学の国際共同研究

    • Principal Investigator
      UENO Kenji
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for Co-operative Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyoto University
  •  保型関数

    • Principal Investigator
      清水 英男
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  可換不足群を持つブロックとパーフェクトアイソメトリー

    • Principal Investigator
      榎本 陽子
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Ochanomizu University
  •  主偏極ア-ベル多様体のモジュライ空間と類数Principal Investigator

    • Principal Investigator
      桂 利行
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Ochanomizu University
  •  MATHEMATICAL PHYSICS,TOPOLOGY AND RELATED ALGEBRAIC STRUCTURE

    • Principal Investigator
      KOHNO Toshitake
    • Project Period (FY)
      1991 – 1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      UNIVERSITY OF TOKYO
      Kyushu University
  •  不定方程式の解析的研究

    • Principal Investigator
      藤原 正彦
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Ochanomizu University
  •  リ-マン多様体の幾何学

    • Principal Investigator
      小川 洋輔
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Ochanomizu University
  •  不安定積空間上のスペクトル論

    • Principal Investigator
      中神 祥臣
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Yokohama City University
  •  正作用素について

    • Principal Investigator
      澤島 侑子
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Ochanomizu University

All 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 Other

All Journal Article Presentation Book

  • [Book] 背理法(担当部分:「論理の中の背理法」pp1-40)2012

    • Author(s)
      桂 利行, 栗原奨人, 堤誉志雄, 深谷賢治
    • Total Pages
      128
    • Publisher
      数学書房
    • Data Source
      KAKENHI-PROJECT-24540053
  • [Book] インターネット数理科学2010

    • Author(s)
      桂利行、藤原洋, ほか12人の共著
    • Publisher
      ナノオプトニクス・エナジー出版局
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Book] インターネット数理科学2010

    • Author(s)
      桂利行、藤原洋
    • Publisher
      ナノオプトニクスエナジー出版局
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Book] 代数学II環上の加群2007

    • Author(s)
      桂 利行
    • Total Pages
      145
    • Publisher
      東大出版会
    • Data Source
      KAKENHI-PROJECT-18340003
  • [Book] 代数学III 体とガロア理論2005

    • Author(s)
      桂 利行
    • Total Pages
      132
    • Publisher
      東大出版会
    • Data Source
      KAKENHI-PROJECT-14340009
  • [Book] 代数学体とガロア理論2005

    • Author(s)
      桂利行
    • Total Pages
      132
    • Publisher
      東京大学出版会
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Book] 代数学III 体とガロア理論2005

    • Author(s)
      桂 利行
    • Total Pages
      132
    • Publisher
      東京大学出版会
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Book] 代数幾何学を概観する2004

    • Author(s)
      桂行
    • Total Pages
      4
    • Publisher
      応用数理14-1, 日本応用数理学会
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Book] 実用向けの代数幾何文献紹介2004

    • Author(s)
      桂利利行
    • Total Pages
      5
    • Publisher
      応用数理14-3, 日本応用数理学会
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Journal Article] K3 surfaces with 9 cusps in characteristic p2021

    • Author(s)
      Toshiyuki Katsura and Matthias Schuett
    • Journal Title

      J. Pure and Applied Algebra

      Volume: 225

    • DOI

      10.1016/j.jpaa.2020.106558

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Journal Article] Classification of Enriques surfaces with finite automorphism group in characteristic 22020

    • Author(s)
      Toshiyuki Katsura, Shigeyuki Kondo and Gebhard Martin
    • Journal Title

      Algebraic Geometry

      Volume: 7

    • DOI

      10.14231/ag-2020-012

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Journal Article] Counting Richelot isogenies between superspecial abelian surfaces2020

    • Author(s)
      Toshiyuki Katsura and Katsuyuki Takashima
    • Journal Title

      “Proceedings of the Fourteenth Algorithmic Number Theory Symposium (ANTS-XIV)”(edited by Steven Galbraith)

      Volume: Open Book Series 4

    • DOI

      10.2140/obs.2020.4.283

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03530
  • [Journal Article] Zariski K3 surfaces2019

    • Author(s)
      Toshiyuki Katsura and Matthias Schuett
    • Journal Title

      Revista Matematica Iberoamericana

      Volume: 印刷中

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Journal Article] On the multicanonical systems of quasi-elliptic surfaces in characteristic 32018

    • Author(s)
      Toshiyuki Katsura
    • Journal Title

      The EMS Series of Congress Report "Schubert Varieties, Equivariant Cohomology and Characteristic Classes", European Mathematical Society

      Volume: 00

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Journal Article] Enriques surfaces in characteristic 2 with a finite group of automorphisms2018

    • Author(s)
      T. Katsura, S. Kondo
    • Journal Title

      J. Algebraic Geometry

      Volume: 27

    • DOI

      10.1090/jag/697

    • NAID

      120006382258

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15H05738, KAKENHI-PROJECT-15H03614
  • [Journal Article] Lefschetz pencils on a certain hypersurface in positive characteristic2017

    • Author(s)
      Toshiyuki Katsura
    • Journal Title

      Advanced Studies in Pure Math.

      Volume: 74

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Journal Article] Koecher-Maass series of the Ikeda lift for U(m,m)2016

    • Author(s)
      H. Katsurada
    • Journal Title

      Kyoto J. Math

      Volume: 未定

    • NAID

      120006459738

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Journal Article] The Chern class map on abelian surfaces2016

    • Author(s)
      T. Katsura
    • Journal Title

      J. Algebra

      Volume: 未定

    • DOI

      10.1016/j.jalgebra.2014.10.052

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-23224001, KAKENHI-PROJECT-24540053
  • [Journal Article] On Ikeda’s conjecture on the period of the Duke-Imamoglu-Ikeda lift2016

    • Author(s)
      H. Katsurada and H. Kawamura
    • Journal Title

      Proc. London Math. J

      Volume: 未定

    • NAID

      120006459648

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Journal Article] Congruence primes of the Kim-Ramakrishnan-Shahidi lift2016

    • Author(s)
      H.Katsurada and H.Kawamura
    • Journal Title

      Experimental Mathematics

      Volume: 111 Pages: 332-346

    • DOI

      10.1112/plms/pdv011

    • NAID

      120006459648

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-23224001, KAKENHI-PROJECT-25247001
  • [Journal Article] Koecher-Maass series of the Ikeda lift for U(m,m)2015

    • Author(s)
      H. Katsurada
    • Journal Title

      Kyoto J. Math.

      Volume: 55 Pages: 321-364

    • NAID

      120006459738

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Journal Article] Congruence between Duke-Imamoglu-Ikeda lifts and non-Duke2015

    • Author(s)
      H. Katsurada
    • Journal Title

      Comment. Math. St. Pauli

      Volume: 64 Pages: 109-129

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Journal Article] Koecher-Maass series of the adelic Hermitian Eisenstein series and the adelic Hermitian Ikeda lift for U(m,m)2014

    • Author(s)
      H. Katsurada
    • Journal Title

      Comment Math. St. Pauli

      Volume: 63 Pages: 137-159

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Journal Article] 標数5の超特殊K3曲面上の有理曲線について(島田伊知朗、 金銅誠之両氏との共同研究)2014

    • Author(s)
      桂 利行
    • Journal Title

      代数幾何学城崎シンポジウム報告集

      Volume: なし Pages: 15-24

    • Data Source
      KAKENHI-PROJECT-24540053
  • [Journal Article] Fourier coefficients of Siegel modular forms of degree two with respect to congruence subgroups2014

    • Author(s)
      M. Chida, H. Katsurada, and K. Matsumoto
    • Journal Title

      Abh. Math. Sem. Univ. Hamburg

      Volume: 84 Pages: 31-47

    • NAID

      120006459682

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Journal Article] On the space of Eisenstein series for $Gamma0(p)$: Fourier Expansions2014

    • Author(s)
      S. Boecherer and H. Katsurada
    • Journal Title

      Comment. Math. St. Pauli

      Volume: 63 Pages: 3-22

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Journal Article] Lefschetz pencils on a certain hypersurface in positive characteristic2014

    • Author(s)
      Toshiyuki Katsura
    • Journal Title

      Advanced Studies in Pure Math.

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540053
  • [Journal Article] On the supersingular K3 surface in characteristic 5 with Artin invariant 12014

    • Author(s)
      T. Katsura, S. Kondo and I. Shimada
    • Journal Title

      Michigan Math. J.

      Volume: 63 Pages: 803-844

    • DOI

      10.1307/mmj/1417799227

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-24540053, KAKENHI-PROJECT-25400042
  • [Journal Article] An explicit formula for the twisted Koecher Maass series of the Duke-Imamoglu-Ikeda lift and its application2014

    • Author(s)
      H. Katsurada
    • Journal Title

      Math. Zeitschrift

      Volume: 276 Pages: 1049-1075

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Journal Article] On the special values of certain L-series related to half-integral weight modular forms2014

    • Author(s)
      H. Katsurada
    • Journal Title

      Springer Proceedings in Mathematics and Statistics(Automorphic Form)

      Volume: 115 Pages: 119-137

    • NAID

      120006459739

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Journal Article] Koecher-Maass series of a certain half-integral weight modular form related with the Duke-Imamoglu-Ikeda lift2014

    • Author(s)
      H.Katsurada, H.Kawamura
    • Journal Title

      Acta Arithmetica

      Volume: 162 Pages: 1-42

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Journal Article] Relations between some invariants of algebraic varieties in positive characteristic2013

    • Author(s)
      G.van der Geer and T.Katsura
    • Journal Title

      Rend. Circ. Mat. Palermo

      Volume: 62 Pages: 111-125

    • DOI

      10.1007/s12215-013-0112-z

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19104001, KAKENHI-PROJECT-24540053
  • [Journal Article] Invariant of algebraic varieties in positive characteristic2013

    • Author(s)
      桂 利行
    • Journal Title

      「射影多様体の幾何とその周辺2012」研究集会報告集

      Volume: なし Pages: 69-74

    • Data Source
      KAKENHI-PROJECT-24540053
  • [Journal Article] Linear dependence of certain L-values of half-integral weight modular forms2012

    • Author(s)
      Hidenori Katsurada
    • Journal Title

      J. London Math. Soc. 85(2012),

      Volume: 85 Pages: 455-471

    • DOI

      10.1112/jlms/jdr057

    • NAID

      120006459638

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244001, KAKENHI-PROJECT-23224001, KAKENHI-PROJECT-23740021, KAKENHI-PROJECT-24540005
  • [Journal Article] Rational curves on the supersingular K3 surface with Artin invariant 1 in characteristic 32012

    • Author(s)
      T.Katsura and S.Kondo
    • Journal Title

      J.Algebra

      Volume: 352 Pages: 243-255

    • DOI

      10.1016/j.jalgebra.2011.10.047

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19104001, KAKENHI-PROJECT-22224001, KAKENHI-PROJECT-24224001
  • [Journal Article] Some Siegel modular standard L-values, and Shafarevich-Tate groups2011

    • Author(s)
      N. Dummigan, T. Ibukiyama and H. Katsurada
    • Journal Title

      J. Number Theory

      Volume: 131 Pages: 1296-1330

    • DOI

      10.1016/j.jnt.2011.01.012

    • NAID

      120006459644

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244001, KAKENHI-PROJECT-23224001
  • [Journal Article] An Atkin-Lehner type theorem on Siegel modular forms and primitive Fourier coefficients2011

    • Author(s)
      T.Ibukiyama, H.Katsurada
    • Journal Title

      Series on Number Theory and Its Applications

      Volume: 7 Pages: 196-210

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Journal Article] Koecher-Maass series for real analytic Siegel Eisenstein series2006

    • Author(s)
      Tomoyoshi IBUKIYAMA, Hidenori KATSURADA
    • Journal Title

      World Sci. Publ.

      Pages: 170-197

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340001
  • [Journal Article] On the distribution of linear codes2005

    • Author(s)
      KATSURA Toshiyuki (共著)
    • Journal Title

      Natur.Sci.Rep.Ochanomizu Univ. 55

      Pages: 33-39

    • NAID

      110006559620

    • Data Source
      KAKENHI-PROJECT-14204012
  • [Journal Article] Notes on tautological classes of moduli of K3 surfaces2005

    • Author(s)
      G. van der Geer, T. Katsura
    • Journal Title

      Moscow Math. J. 5

      Pages: 775-779

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Journal Article] On the distribution of linear codes2005

    • Author(s)
      T. Katsura, M. Q. Kawakita
    • Journal Title

      Nat. Sci. Rep. of Ochanomizu Univ. 55

      Pages: 33-39

    • NAID

      110006559620

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Journal Article] Note on tautological classes of moduli of K3 surfaces.2005

    • Author(s)
      G.van der Geer, T.Katsura
    • Journal Title

      Mosc.Math.J. 5

      Pages: 775-779

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14102001
  • [Journal Article] Note on tautological classes of moduli of K3 surfaces2005

    • Author(s)
      G.van der Geer, T.Katsura
    • Journal Title

      Mosc. Math. J. 5

      Pages: 775-779

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14102001
  • [Journal Article] Notes on tautological classes of moduli of K3 surfaces.2005

    • Author(s)
      T. Katsura (with G. van der Geer)
    • Journal Title

      Moscow Math. J. 5

      Pages: 775-779

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Journal Article] Note on tautological classes of moduli of K3 surfeces2005

    • Author(s)
      Gerard VAN DER GEER, Toshiyuki KATSURA
    • Journal Title

      Moscow Math. J 5

      Pages: 775-779

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340001
  • [Journal Article] On the distribution of linear codes2004

    • Author(s)
      T. Katsura, (with M. Q. Kawakita)
    • Journal Title

      Nat. Sci. Rep. of Ochanomizu Univ. 55

      Pages: 33-39

    • NAID

      110006559620

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Journal Article] On the distribution of linear codes2004

    • Author(s)
      T.Katsura, M.Q.Kawakita
    • Journal Title

      Nat sci.Rep. of Ochanomizu Univ. 55・2

      Pages: 33-39

    • NAID

      110006559620

    • Data Source
      KAKENHI-PROJECT-15204001
  • [Journal Article] On the distribution of linearcodes2004

    • Author(s)
      Toshiyuki kATSURA, Motoko Qui KAWAKITA
    • Journal Title

      Nat. Sci. Report Ochanomizu Univ. 55

      Pages: 33-39

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340001
  • [Journal Article] On the distribution of linearcodes2004

    • Author(s)
      Toshiyuki KATSURA, Motoko Qui KAWAKITA
    • Journal Title

      Nat. Sci. Report Ochanomizu Univ. 55

      Pages: 33-39

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340001
  • [Journal Article] 代数幾何学を概観する2004

    • Author(s)
      桂 利行
    • Journal Title

      応用数理 14

      Pages: 71-74

    • NAID

      110001899059

    • Data Source
      KAKENHI-PROJECT-15654002
  • [Journal Article] An explicit formula for the Koecher-Maass Dirichlet series for the Ikeda lifting2004

    • Author(s)
      Tomoyoshi IBUKIYAMA, Hidenori KATSURADA
    • Journal Title

      Abh. Math. Sem. Univ. Hamburg 74

      Pages: 101-121

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340001
  • [Journal Article] On the height of Calabi-Yau varieties in positive characteristic2003

    • Author(s)
      G. van der Geer, T. Katsura
    • Journal Title

      Documenta Math. 8

      Pages: 97-113

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Journal Article] On the height of CalabrYau varieties in positive characteristic2003

    • Author(s)
      T. Katsura (with G. vander Geer)
    • Journal Title

      Documenta Math. 8

      Pages: 97-113

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Journal Article] Note on tautological classes of moduli of K3 surfaces

    • Author(s)
      G.van der Geer, T.Katsura
    • Journal Title

      Moscow Math.J. Accepted for publication

    • Data Source
      KAKENHI-PROJECT-15204001
  • [Journal Article] Note on tautological classes of moduli of K3 surfaces

    • Author(s)
      G.van der Geer, T.Katsura
    • Journal Title

      Moscow Math.J. Accepted for publication

    • Data Source
      KAKENHI-PROJECT-15654002
  • [Presentation] On the classification of Enriques surface with finite automorphism group2020

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      Conference on Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties, RIMS Conference, 京都大学数理解析研究所(Zoom),
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Presentation] Counting Richelot isogenies of supersingualr curves of genus 22020

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      Seminar of Algebraic Geometry in East Asia (Zoom)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03530
  • [Presentation] Zariski K3 surfaces2019

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      第6回代数幾何研究集会―宇部―, 宇部高専, 宇部, January 13
    • Invited
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Presentation] On the supersingular locus of the moduli space of principally polarized abelian varieties in positive characteristic2019

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      Supersingular abelian varieties and related arithmetic, Nagoya University
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Presentation] Algebraic geomertry in positive characteristic2019

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      Research Seminar Algebraic Geometry, Leibniz University Hannover
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Presentation] Construction of numerically trivial automorphisms of Enriques surfaces in characteristic 22018

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      Research Seminar, Leibnitz Univ. Hannover, Germany, September 4
    • Invited
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Presentation] Algebraic geometry in positive characteristic2018

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      Conference on Algebraic Geometry in Positive Characteristic and Related Topics, Univ. of Tokyo, Tokyo, December 18,
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Presentation] Automorphism groups of Enriques surfaces with quasi-elliptic fibration in characteristic 22018

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      Conference on Differential, Algebraic and Topological Methods in Complex Algebraic Geometry, Cetraro, Italy, September 10
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Presentation] Classification of Enriques surfaces with finite automorphism group in characteristic 22018

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      11th Conference of Arithmetic and Algebraic Geometry 2018, Univ. Tokyo, January 23, 2018.
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Presentation] Classification of Enriques surfaces with finite automorphism group in characteristic 22018

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      研究集会「射影代数多様体の幾何とその周辺」, 高知工科大学永国寺キャンパス, 高知, 10月6日.
    • Invited
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Presentation] 正標数の代数幾何学2017

    • Author(s)
      T.Katsura
    • Organizer
      2017年(第20回)日本数学会代数学賞受賞特別講演、日本数学会
    • Place of Presentation
      首都大学東京(東京都、八王子市)
    • Year and Date
      2017-03-26
    • Invited
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Presentation] Classification of Enriques surfaces with finite automorphism in characteristic 22017

    • Author(s)
      T.Katsura
    • Organizer
      「代数幾何学と暗号数理の展開」研究集会
    • Place of Presentation
      九州大学西新プラザ(福岡県、福岡市)
    • Year and Date
      2017-02-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Presentation] Classification of Enriques surfaces with finite automorphism groups in characteristic 22017

    • Author(s)
      T.Katsura
    • Organizer
      New Trends in Arithmetic and Geometry of Algebraic Surface
    • Place of Presentation
      Banff International Research Station, Banff, Canada
    • Year and Date
      2017-03-17
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Presentation] Finite automorphism groups of Enriques surfaces in characteristic 22017

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      Research Seminar, Leibniz University Hannover, Germany, August 21
    • Invited
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Presentation] Classification of Enriques surfaces with finite automorphism groups in characteristic 22017

    • Author(s)
      T.Katsura
    • Organizer
      Algebraic Geometry Conference
    • Place of Presentation
      Hotel Libero, Busan, Korea
    • Year and Date
      2017-03-29
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Presentation] Zariski K3 surfaces2017

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      第17回名古屋国際数学コンファレンス 「K3 surfaces and Related Topics」, 名古屋大学, December 20,
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Presentation] Classification of Enriques surfaces with finite automorphism group in characteristic 22017

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      Arithmetic and Algebraic Geometry Seminar, University of Amsterdam, The Netherlands, September 5
    • Invited
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Presentation] 保型形式の周期と合同およびそれに関連する話題2016

    • Author(s)
      桂田英典
    • Organizer
      日本数学会代数分科会特別講演
    • Place of Presentation
      筑波大学(茨城県・つくば市)
    • Year and Date
      2016-03-18
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Presentation] Enriques surfaces with finite automorphism groups in characteristic 22016

    • Author(s)
      T. Katsura
    • Organizer
      Tsuda College and Oist Joint Workshop on Calabi-Yau Varieties: Arithmetic Geometry and Physics
    • Place of Presentation
      Tsuda College(東京都、小平市)
    • Year and Date
      2016-08-02
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Presentation] Zariski K3 surfaces2016

    • Author(s)
      T. Katsura
    • Organizer
      Research Seminar Algebraic and Arithmetic Geometry
    • Place of Presentation
      Leibniz University Hannover, Hannover, Germany
    • Year and Date
      2016-05-02
    • Invited
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Presentation] Explicit formula for the Siegel series of a quadratic form over a non-archimedian local field2016

    • Author(s)
      池田保,桂田英典
    • Organizer
      RIMS研究集会「保型形式・保型的L関数とその周辺」
    • Place of Presentation
      京都大学数理解析研究所(京都府・京都市)
    • Year and Date
      2016-02-05
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Presentation] Enriques surfaces in characteristic 22016

    • Author(s)
      T. Katsura.
    • Organizer
      Summer School 2016 of the IRTG "Moduli and Automorphic Forms"
    • Place of Presentation
      Strandhotel Seeduyn, Vlieland, The Netherlands
    • Year and Date
      2016-08-31
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Presentation] On a 1-dimensional family of Enriques surfaces in characteristic 22015

    • Author(s)
      T. Katsura
    • Organizer
      Arithmetic and Algebraic Geometry 2015
    • Place of Presentation
      東京大学 ( 東京都目黒区 )
    • Year and Date
      2015-01-28
    • Data Source
      KAKENHI-PROJECT-24540053
  • [Presentation] 二次形式のGross-Keating不変量とその応用2015

    • Author(s)
      池田保,桂田英典
    • Organizer
      数理研研究集会「Modular形式と保型表現」
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Year and Date
      2015-02-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Presentation] Configurations of smooth rational curves on superspecial K3 surfaces in small characteristics2015

    • Author(s)
      T. Katsura
    • Organizer
      "Algebraic Geometry Conference (IMPANGA 15)
    • Place of Presentation
      べドレボ(ポーランド)
    • Year and Date
      2015-04-17
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Presentation] On a 1-dimensional family of Enriques surfaces in characteristic 22015

    • Author(s)
      T. Katsura
    • Organizer
      Arithmetic and Algebraic Geometry 2015
    • Place of Presentation
      東京大学(東京都)
    • Year and Date
      2015-01-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Presentation] Configurations of smooth rational curves on superspecial K3 surfaces in small characteristics2015

    • Author(s)
      T. Katsura
    • Organizer
      Research Seminar Algebraic and Arithmetic Geometry
    • Place of Presentation
      Leibniz University Hannover (Hannover, Germany)
    • Year and Date
      2015-03-05
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540053
  • [Presentation] On a classification of Enriques surfaces with finite automorphism groups2015

    • Author(s)
      T. Katsura
    • Organizer
      Conference on K3 surfaces and related topics
    • Place of Presentation
      ソウル(韓国)
    • Year and Date
      2015-11-17
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Presentation] Periods and congruences of various lifts of modular forms2015

    • Author(s)
      H. Katsurada
    • Organizer
      Workshop on automorphic forms at Kumamoto
    • Place of Presentation
      熊本大学(熊本市)
    • Year and Date
      2015-01-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Presentation] On a classification of Enriques surfaces with finite automorphism groups2015

    • Author(s)
      T. Katsura
    • Organizer
      Conference on K3 Surfaces and Related Topics
    • Place of Presentation
      Korea Institute of Advanced Studies (KIAS), Seoul, Korea
    • Year and Date
      2015-11-17
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Presentation] Configurations of smooth rational curves on superspecial K3 surfaces in small characteristics2015

    • Author(s)
      T. Katsura
    • Organizer
      Algebraic Geometry Conference (IMPANGA 15)
    • Place of Presentation
      Banach International Mathematical Center, Bedlevo, Poland
    • Year and Date
      2015-04-17
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03614
  • [Presentation] On the supersingular K3 surface in characteristic 5 with Artin invariant 52014

    • Author(s)
      T. Katsura
    • Organizer
      The 4th South Kyushu workshop on Algebra "Complex Ball Quotients and Related Topics"
    • Place of Presentation
      熊本大学(熊本市)
    • Year and Date
      2014-07-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Presentation] On the supersingular K3 surface in characteristic 5 with Artin invariant 12014

    • Author(s)
      T. Katsura
    • Organizer
      The 4th South Kyushu workshop on Algebra "Complex Ball Quotients and Related Topics"
    • Place of Presentation
      熊本大学 ( 熊本県熊本市 )
    • Year and Date
      2014-07-14
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540053
  • [Presentation] Linear dependence of certain L-values of half-integral weight modular forms2012

    • Author(s)
      Hidenori Katsurada
    • Organizer
      International Workshop on Mathematics 18th-22nd February in Oman 2012
    • Place of Presentation
      GUtech Airport Campus(オマーン)
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Presentation] On a configuration of curves on the superspecial abelian surface in characteristic 32011

    • Author(s)
      T.Katsura
    • Organizer
      2011 Taiwan-Japan Workshop on ArithmeticAlgebraic Geometry and Related Topics
    • Place of Presentation
      Academia Sinica,Taiwan
    • Year and Date
      2011-11-17
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Configurations of rational curves on the supersingular K3 surface with Artin invariant 1 in characteristic 32011

    • Author(s)
      T.Katsura
    • Organizer
      Workshop on Algebraic Geometry in Positive Characteristic
    • Place of Presentation
      KIAS,Korea
    • Year and Date
      2011-05-26
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Period of the Hermitian Ikeda lift2011

    • Author(s)
      Hidenori Katsurada
    • Organizer
      Explicit theory of automorphic forms, applications and computations 2011
    • Place of Presentation
      Centre International de Rencontres Mathematiques(フランス)
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Presentation] Configurations of rational curves on supersingular K3 surfaces in small characteristics2011

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      Algebra en Meetkunde
    • Place of Presentation
      Amsterdam大学, Netherlands
    • Year and Date
      2011-03-07
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Invariants of algebraic varieties in positive characteristic2010

    • Author(s)
      T. Katsura
    • Organizer
      KIAS Seminar
    • Place of Presentation
      KIAS (Korea)
    • Year and Date
      2010-03-29
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Invariants of algebraic varieties in positive characteristic2010

    • Author(s)
      T.Katsura
    • Organizer
      KIAS Seminar, KIAS
    • Place of Presentation
      Korea
    • Year and Date
      2010-03-29
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Some invariants of algebraic varieties in positive characteristic2010

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      Prospects in Mathematics
    • Place of Presentation
      Trento Univ.(CIRM), Italy
    • Year and Date
      2010-09-14
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Some invariants of algebraic varieties in positive characteristic2010

    • Author(s)
      T.Katsura
    • Organizer
      Prospects in Mathematics
    • Place of Presentation
      Trento Univ. (CIRM), Italy
    • Year and Date
      2010-09-14
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Some invariants of algebraic varieties in positive characteristic2010

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      Arithmetic and Algebraic Geometry 2011
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Year and Date
      2010-01-22
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Some invariants of algebraic varieties in positive characteristic2010

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      代数幾何学とその周辺
    • Place of Presentation
      高知大学理学部
    • Year and Date
      2010-12-18
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Configurations of rational curves on supersingular K3 surfaces in small characteristics2010

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      Seoul-Tokyo Conference on Arithmetic and Algebraic Geometry
    • Place of Presentation
      KIAS, Seoul, Korea
    • Year and Date
      2010-11-26
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] On the structure of cohomology groups of K3 surfaces in positive haracteristic, "Algebraic Geometry in Characteristic p and Related Topics"2010

    • Author(s)
      T. Katsura
    • Place of Presentation
      Univ. of Tokyo
    • Year and Date
      2010-02-16
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] On the configuration of rational curves on the supersingular K3 surfaces in small characteristics2010

    • Author(s)
      T.Katsura
    • Organizer
      Conference on Geometry and Arithmetic
    • Place of Presentation
      Schiermonnikoog,The Netherlands
    • Year and Date
      2010-09-23
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] On the configuration of rational curves on the supersingular K3 surfaces in small characteristics2010

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      Geometry and Arithmetic
    • Place of Presentation
      Schiermonnikoog, The Netherlands
    • Year and Date
      2010-09-23
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Configurations of rational curves on supersingular K3 surfaces in small characteristics2010

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      Seoul-Tokyo Conference on Arithmeticand Algebraic Geometry
    • Place of Presentation
      KIAS, Seoul, Korea
    • Year and Date
      2010-11-26
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] 正標数の世界に40年2009

    • Author(s)
      T. Katsura
    • Organizer
      談話会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-12
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] From genus 2 to genus 32008

    • Author(s)
      T. Katsura
    • Organizer
      Explicit Structures in Modular Forms and Number
    • Place of Presentation
      Kinki Univ.
    • Year and Date
      2008-09-07
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Some remarks on invariants of algebraic varieties in positive characteristic2008

    • Author(s)
      T. Katsura
    • Organizer
      Arithmetic and Algebraic Geometry
    • Place of Presentation
      Univ. Tokyo
    • Year and Date
      2008-07-04
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] From genus 2 to genus 32008

    • Author(s)
      T. Katsura
    • Organizer
      Conf. on Explicit Structures in Modular Forms and Number
    • Place of Presentation
      Kinnki Univ.
    • Year and Date
      2008-09-07
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] On the unirationality ofFermat varieties2007

    • Author(s)
      T.Katsura
    • Organizer
      Conf. of Characteristic p Method in Algebraic Geometry, Drobeta Turnu-Severin
    • Place of Presentation
      Romania
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] On the unirationality of Fermat varieties2007

    • Author(s)
      T. Katsura
    • Organizer
      Conf. of Characteristic p Method in Algebraic Geometry, Drobeta Turnu-Severin
    • Place of Presentation
      Romania
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] On the unirationality of Fermat varieties2007

    • Author(s)
      T. Katsura
    • Organizer
      School of Characteristicp Method in Algebraic Geometry
    • Place of Presentation
      Drobeta Turnu-Severin Romania
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Automorphism group of abelian surfaces and the unirationality of generalized Rummer surfaces in positive characteristic2006

    • Author(s)
      T. Katsura
    • Organizer
      Workshop of Abelian Varieties
    • Place of Presentation
      Univ. of Amsterdam
    • Year and Date
      2006-05-30
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Presentation] On the distribution of linear codes2005

    • Author(s)
      T. Katsura
    • Organizer
      Conference on Algebraic Geometry and Beyond
    • Place of Presentation
      RIMS
    • Year and Date
      2005-12-15
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Presentation] Unirational surfaces in positive characteristic.2005

    • Author(s)
      T. Katsura
    • Organizer
      Current Trends in Mathematics, "Number Fields and Curves over Finite Fields"
    • Place of Presentation
      Anogia, Greece
    • Year and Date
      2005-07-24
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Presentation] Unirational surfaces in positive characteristic2005

    • Author(s)
      T. Katsura
    • Organizer
      Current Trends in Mathematics, "Number Fields and Curves over Finite Fields"
    • Place of Presentation
      Anogia, Greece
    • Year and Date
      2005-07-24
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Presentation] Invariants of algebraic varieties in positive characteristic2004

    • Author(s)
      T. Katsura
    • Organizer
      Conference on Arithmetic and Algebraic Geometry
    • Place of Presentation
      東大数理
    • Year and Date
      2004-01-21
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Presentation] On a stratification of the moduli of K3 surfaces in positive characteristic2004

    • Author(s)
      T. Katsura
    • Organizer
      International Conference on Arithmetic Geometry, Euler International Mathematical Institute
    • Place of Presentation
      St. Petersburg, Russia
    • Year and Date
      2004-06-25
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Presentation] Invariants of algebraic varieties in positive characteristic2004

    • Author(s)
      T. Katsura
    • Organizer
      Conference on Arithmetic and Algebraic Geometry
    • Place of Presentation
      the University of Tokyo
    • Year and Date
      2004-01-21
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Presentation] On a stratification of moduli of K3 surfaces2004

    • Author(s)
      T. Katsura
    • Organizer
      Korea-Japan Conference on Algebraic Geometry
    • Place of Presentation
      KIAS, Korea
    • Year and Date
      2004-07-06
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Presentation] On a stratification of moduli of K3 surfaces2004

    • Author(s)
      T. Katsura
    • Organizer
      Korea-Japan Conference on Algebraic Geometry, KIAS
    • Place of Presentation
      Korea
    • Year and Date
      2004-07-06
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Presentation] On a stratification of the moduli of K3 surfaces in positive characteristic.2004

    • Author(s)
      T. Katsura
    • Organizer
      International Conference on Arithmetic Geometry, Euler International Mathematical Institute, St. Petersburg
    • Place of Presentation
      Russia
    • Year and Date
      2004-06-25
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Presentation] 正標数ワールド2003

    • Author(s)
      T. Katsura
    • Organizer
      第48回代数学シンポジウム
    • Place of Presentation
      名古屋大学
    • Year and Date
      2003-09-18
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Presentation] 正標数のCalabi-Yau多様体とArtin-Mazur形式群2003

    • Author(s)
      T. Katsura
    • Organizer
      代数幾何学シンポジウム
    • Place of Presentation
      東北大学
    • Year and Date
      2003-03-13
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Presentation] 代数幾何学と分類理論2003

    • Author(s)
      T. Katsura
    • Organizer
      日本応用数理学会総合講演
    • Place of Presentation
      京都大学吉田キャンパス
    • Year and Date
      2003-09-18
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Presentation] Invariants of algebraic varieties in positive characteristic2003

    • Author(s)
      T. Katsura
    • Organizer
      Special Year on Algebraic Geometry and Topology, Australian National Univ.
    • Place of Presentation
      Australia
    • Year and Date
      2003-08-25
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Presentation] Invariants of algebraic varieties in positive characteristic2003

    • Author(s)
      T. Katsura
    • Organizer
      Special Year on Algebraic Geometry and Topology
    • Place of Presentation
      Australian National Univ., Australia
    • Year and Date
      2003-08-25
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15204001
  • [Presentation] Configurations of rational curves on the supersingular K3 surfacewith Artin invariant 1 in characteristic 3

    • Author(s)
      T. Katsura
    • Organizer
      Workshop on Algebraic Geometry in Positive Characteristic
    • Place of Presentation
      KIAS, Korea
    • Invited
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] The h-invariant in positive characteristic

    • Author(s)
      T. Katsura
    • Organizer
      Arithmetic 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] Invariants of algebraic varieties in positive characteristic

    • Author(s)
      桂 利行
    • Organizer
      「射影多様体の幾何とその周辺2012」研究集会
    • Place of Presentation
      高知大学(高知県)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540053
  • [Presentation] 標数5の超特殊K3曲面上の有理曲線について(島田伊知朗、 金銅誠之両氏との共同研究)

    • Author(s)
      桂 利行
    • Organizer
      代数幾何学城崎シンポジウム
    • Place of Presentation
      兵庫県立城崎大会議館
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540053
  • [Presentation] On a configuration of curves on the superspecial abelian surface in characteristic 3

    • Author(s)
      T. Katsura
    • Organizer
      2011 Taiwan-Japan Workshop on Arithmetic Algebraic Geometry and Related Topic
    • Place of Presentation
      Academia Sinica, Taiwan
    • Invited
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Configurations of rational curves on superspecial K3 surfaces in small characteristics

    • Author(s)
      桂 利行
    • Organizer
      Algebraic Geometry Seminar
    • Place of Presentation
      Univ. Amsterdam(オランダ)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540053
  • [Presentation] Relations between some invariants of algebraic varieties in positive characteristic

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      Conferece on Classification of Algebraic Varieties and Related Topics
    • Place of Presentation
      Cetraro, Italy
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540053
  • [Presentation] 正標数の超特殊K3曲面上の有理曲線の配置について

    • Author(s)
      桂 利行
    • Organizer
      南九州代数系集会
    • Place of Presentation
      熊本大学(熊本県)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540053
  • [Presentation] Some invariants of algebraic varieties in positive characteristic

    • Author(s)
      桂 利行
    • Organizer
      第12回アフィン代数幾何学研究集会
    • Place of Presentation
      関西学院大学梅田キャンパス
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540053
  • [Presentation] 超特殊K3曲面上の有理曲線の配置について

    • Author(s)
      桂 利行
    • Organizer
      代数幾何セミナー
    • Place of Presentation
      東京大学大学院数理科学研究科(東京都)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540053
  • [Presentation] Relations between some invariants of algebraic varieties in positive characteristic

    • Author(s)
      Toshiyuki Katsura
    • Organizer
      Classification of Algebraic Varieties and Related Topics
    • Place of Presentation
      Grand Hotel San Michele(チェトラーロ,イタリア)
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224001
  • [Presentation] Some invariants of algebraic varieties in positive characteristic

    • Author(s)
      桂 利行
    • Organizer
      南九州代数系集会
    • Place of Presentation
      鹿児島大学理学部
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540053
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  • 141.  YOSHINORI Mizuno
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