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Katsura Toshiyuki  桂 利行

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… 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) 2025: 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 – 2023: 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 / Basic Section 11010:Algebra-related / 代数学・幾何学
Except Principal Investigator
Algebra / 代数学・幾何学 / Algebra / 解析学 / Global analysis / Geometry
Keywords
Principal Investigator
正標数 / カラビ・ヤウ多様体 / K3曲面 / 代数多様体 / モジュライ空間 / アーベル曲面 / 符号 / 楕円曲面 / 準楕円曲面 / 自己同型群 … More / Enriques曲面 / ハイト / チャウ群 / イリュージー層 / 代数幾何 / モジュライ / Hamming code / アーベル多様体 / Jacobi多様体 / Richelot isogeny / エンリケス曲面 / 有理曲面 / アルチン・メイザー形式群 / Cartier operator / フロベニウス写像 / ピカール数 / カルチエ作用素 / 形式的ブラウワー群 / K3 surface / Calabi-Yau manifold / moduli space / code / 超特異 / ネロン・セヴェリ群 / アルチン不変量 / クンマー曲面 / 国際研究者交流(オランダ) / 超曲面 / チャーン類 / 数論幾何 / トーリック多様体 / 標準因子 / wild fibre / 楕円曲線 / 標数p / 超特殊 / 代数曲線 / 超楕円曲線 / Grassmann多様体 / quadratic line complex / Kummer曲面 / Coble曲面 / リシュロー同種写像 / ヤコビ多様体 / コーブル曲面 / vector field / Lattice / 有限自己同形群 / nodal curve / Zariski曲面 / Lefschetz pencil / 単有理 / Calabi-Yau多様体 / 多重線形系 / 標数正 / nordal曲線 / 代数曲面 / Illusie sheaf / height / Mordell-Weil group / Abelian varietv / elliptic surface / フェルマー多様体 / 中間ヤコビ多様体 / アルチン予想 / モーデル・ヴェイユ格子 / リジッド幾何 / 擬射影平面 / モーテル・ヴェイユ格子 / Cryptography / Abelian surface / Calabi-Yau variety / Chow group / Moduli space / Artin-Mazur formal group / Positive characteristic / NP問題 / 量子計算機 / 公開鍵暗号 / モジュウイ空間 / a-数 / ホッジフィルトレーション / ド・ラムコホモロジー群 / 暗号 / Artin invariant / Chem class / formal Brauer group / modulic space / K3 purface / 形式的ブラウアー群 / K^3曲面 / 高さ / カルチェ作用素 / ハミング符号 / Mordell-Weil lattice / polarigation / algebraic geemetry / 群スキーム / P進一意化 / 共形場理論 / 量子コホモロジー / ミラーシンメトリー / 特異点 / Hodge理論 / Golay符号 / 形式群 / p-進一意化 / 多項式 / Mordell-Weil格子 / 偏極 / Hamming符号 / 代数幾何学 / ピカール格子 / リーチ格子 / 直線配置 / 有理曲線 / 変形 / サイクル / ケンマー曲面 / configuration / 起特異 / 代数学 / 代数的サイクル / アルチン・メーザー形式群 / ピカール群 / ミラー対称性 / a数 / コホモロジー群 / コモホロジー群 / 普遍族 / p-進ホッジ理論 / モノドロミー / 線型符号 / Golay code / 孤立半径 / 完全孤立 / Maninの定理 / [n,k,d]符号 / RM符号 / RS符号 / 符号理論 / 四元数環 / 主偏極 / 有理ベクトル場 / 重複ファイバー / ベクトル場 / 多重種数 / カルチエ作用表 / ア-ベル多様体 … More
Except Principal Investigator
モジュライ空間 / 共形場理論 / パンルヴェ方程式 / 代数多様体 / モジュライ / アーベル多様体 / 極小モデル / トーリック多様体 / 導来圏 / 標準因子 / ミラー対称性 / 安定性 / コンパクト化 / 楕円曲線 / Calabi-Yau多様体 / 数論幾何学 / Chow群 / 3次元多様体 / 消滅定理 / Painleve equations / Abelian variety / マッカイ対応 / 藤田予想 / Hodge理論 / 代数的サイクル / フリップ / 対称性 / ガルニエ系 / 可積分系 / カラビ・ヤウ多様体 / K3曲面 / Stability / 位相的場の理論 / 超幾何関数 / 保型形式 / 無限可積分系 / 2次超曲面 / ファノ多様体 / 二次超曲面 / 導手公式 / flip / algebraic variety / ホッジ構造 / ホッジ理論 / 高次Abel-Jacobi写像 / symmetries / Garnier systems / 初期値空間 / ベックルント変換 / McKay correspondence / 商特異点 / McKay対応 / 特異点 / 標準特異点 / 小平次元 / 固定点自由化定理 / 表現論 / KZ方程式 / 代数曲線 / moduli space / conformal field theory / Moduli space / Vassiliev invariants / Chern-Simons theory / braid group / Conformal field theory / モノドロミー表現 / バシリエフ不変量 / ウィッテン不変量 / 組みひも群 / 複素シンプレクティック多様体 / 変形理論 / 代数幾何学 / ベクトル束 / Higgs束 / 加藤予想 / P進Hodge理論 / ホッヂ理論 / 高次元類体論 / p進Hodge理論 / モチフィックコホモロジー / スタック / フロップ / 半正値性定理 / カラビヤウ多様体 / 単純特異点 / 連接層 / 非線型可積分系 / 代数解 / 非線型完全積分可能系 / Artin-Mazur形式群 / アーベル曲面 / Abel 多様体 / Abel多様体 / レベルN構造 / 代数的対応 / 混合モチーフ / 位相場の理論 / 写像類群 / 不連続群 / 量子群 / 可解格子模型 / タイヒミュラー群 / 共形場 / Floer理論 / 有限群スキーム / Witt 環 / symplectic 多様体 / 整モデル / 既約表現 / レベル構造 / 非可換ゼータ関数 / 双対分割定理 / 半アーベル群スキーム / ガウス分布 / 量子コホモロジー / ハミルトン構造 / Fleor理論 / ガンマ関数 / 超幾何級数 / モジュライ理論 / ゼータ関数 / 超平面配置 / フレア理論 / Canonical degrees / Conjecture of Green-Griffiths-Lang / Surfaces of general type / Quadric hypersurfaces / Family of rational curves / Fano manifolds / ログ幾何学 / モジュラー関数 / 対称空間 / 3次曲面 / 標準的高さ / 標準次数 / ラング予想 / 一般型曲面 / 有理曲線族 / resolution of singularities / Kato conjecture / finiteness conjecture / motivic cohomology / 高次チャウ群 / ベイリンソン予想 / 高次アーベルヤコビ写像 / P進ホッヂ理論 / Beilinson予想 / Bloch-加藤予想 / 高次Chow群 / Chow群の有限性 / 特異点解消 / 有限性予想 / flop / stack / toric variety / birational / derived category / minimal model / D同値 / K同値 / 双有理同値 / 双有理幾何学 / グラスマン多様体 / 極小モデル理論 / 双有理 / discrete systems / space of initial conditions / τ-functions / bilinear forms / nonlinear integrable systems / 双有理正準変換 / ルート系 / ホロノミック変形 / 折り畳み変換 / バンルヴェ方程式 / 離散系 / τ関数 / 双一次形式 / 非線形可積分系 / Arithmetic geometry / Rigid geometry / Topological field theory / Modular functor / Integrable systems with infinite degrees of freedom / p進微分方程式 / リー代数 / 3次元多様体の不変量 / 幾何学的クリスタル / p進解析空間 / モジュライ函手 / Rigid幾何学 / 遠アーベル幾何学 / ワイル群 / タイヒミュラー空間 / 重複ファイバー / 曲線の退化 / ヤコビ多様体 / 無限次元代数 / 政論幾何学 / 剛幾何学 / モジュラー函手 / Fano 3-folds / hyperquadrics / projective space / fiber space structure / birational morphism / complex symplectic / Q-ファノ多様体 / 複素トーラス / モディライ空間 / 大域剛性 / 完全可積分ハミルトン系 / 双有理写像 / 有利曲線族 / 変形同値類 / 正則写像 / 高次元多様体 / 三次元ファノ多様体 / 射影空間 / ファイバー構造 / 双有理射 / 複素シンプレクティック / Quiver variety / Coinvariant algebra / Calabi-Yau Manifolds / Theta function / Compactification / Moduli / 一般化Whittaker模型 / Floer homology / Griffiths領域 / 余不変式環 / テータ関数 / Quiver多様体 / 余不変代数 / データ関数 / Multiple Zeta Value / Selberg integral / Toric geometry / Hypergeometric functions / トーリック幾何学 / 多重ゼータ値 / セルバーグ積分 / トーリック幾何 / log geometry / conductor / BSD conjecture / abelian variety / Iwasawa theory / moduler forms / Harse zeta function / リーマン・ヒルベルト対応 / 対数的アーベル多様体 / 微分加群 / エタール・コホモロジー / 代数体 / SL(2)-orbit / 退化 / log代数多様体 / Hodge構造 / Birch Swinnerton-Dyer予想 / log幾何 / 導手 / BSD予想 / 岩澤理論 / ハセ・ゼータ関数 / vanishing theorem / log canonical divisor / Fujita conjecture / semipositivity theorem / minimal variet / non-vanishing theorem / 線型系 / 非消滅予想 / KLT / 可逆層 / オービフォルド / 層 / 対数的標準因子 / 極小多様体 / 非消滅定理 / plurigenus / deformation / canonical singularity / multiplier ideal / logarithmic form / Kodaira dimension / pluricanonical form / alsebraic variety / 半正値性 / 多重種数 / 変形族 / 乗数イデアル層 / 対数的多重標準形式 / 多重標準形式 / Hodge structure / Abel's theorem / Abel-Jacobi map / Chow gruop / algebraic cycles / トレリ問題 / 混合ホッヂ構造 / Griffiths群 / ノーマル ファンクション / Griffithsの定理 / Abol-Jacobi写像 / 周期積分 / ホッヂ構造 / アーベルの定理 / アーベル・ヤコビ写像 / チャウ群 / Backlund Trqnsformation / Affine Weyl groups / Bilinear Forms / Nonliear CIS / Integrable system / ソリトンセルオートマトン / 離散化と超離散化 / KP方程式 / シューア関数 / 代数幾何学符号 / 非線形完全積分可能系 / パンルヴェ階層 / 多変数特殊関数 / 組み合わせ論 / 完全積分可能素 / 双線形形式 / 非線完全積分可能系 / 双称形型式 / 非線型完全積可能系 / アフィンワイル群 / 双線形型式 / 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 / モーデルベイユ格子 / 組合せ論 / 計算幾何 / 可換環 / moduli / Simple singularity / Singularity / Representation / 横断性定理 / モノドロミ- / ハイパーケーラー多様体 / ツイスター空間 / マッケイ対応 / 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 / Mackey反応 / Mirror synmetriy / Fujita conjectures / cones / intersection numbers / divisors / numerical geometry / higher dimensional algebraic varieties / Calabi-Yau / 安定曲線 / 有理特異点 / 固定点 / 因子 / 射影多様体 / 可動因子 / 豊富因子の錘体 / 数値的同値 / カラビ・ヤウ / 対数的標準特異点 / Aralytic Number Theory / Representation Theory / Modular forms / Commutative ring theory / Algebraic Combinatorics / Algebraic Number Theory / Algebra / 代数群 / 可挽環論 / 可換環論 / 代数的組み合せ論 / 解析的整数論 / 可換理論 / 代数的組み合わせ論 / 代数的整数論 / 代数学 / q-analog / arithmeticgeometry / pointed Riemannsurface / Calabi-Yaumanifold / conformalblock vector bundle / 楕円曲面 / 共形場ブロック / 閉リーマン面 / 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 / ベクトル束のモジュライ空間 / 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 / Feynman diagrams / Witten invariants / topological field theory / ファイマンダイアグラム / ファインマン図形 / バジリエフ不変量 / チャーン・サイモンズ理論 / Quantum groups / Witten invariant / 3-manifold / moduli of riemann surfacesリ-マン面のモジュライ空 / solvable lattice models可解格子模型 / quantum group量子群 / conformal field theory共形場理論 / 3ーmanifold3次元多様体 / mapping class goup写像類群 / braid group組紐群 / 結び目理論 / 降中心列 / チャーンサイモンズ理論 / 共形場の理論 / 双曲型方程式 / Feynman積分 / Korovkin型定理 / シンプレックス空間 / C^*一代数 / スペクトル性 / 正作用素 / 量子化された群 / フィリッブスの問題 / 不変極大非負荷部分空間 / 冨田の三角行列 / 不安定積空間 / 複素シンブレクティック多様体 / Chern類 / Bogomolov-Yau-Simpson不等式 / ABC予想 / Chern 類 / _Bogomolov-Yau-Simpson不等式 / 安定Higgo束 / ABC 予想 / 曲線の次数評価 / 一般型代数曲面 / 作用付きベクトル束 / ヒッグズ束 / 高次元代数多様体 / 代数曲面 / 標準計量 / 変形 / Boomolov-Gieseker不等式 / チャン類 / Jordanフィルトレーショ / 代数幾何 / ホモロジー理論 / Bloch-Ogusの理論 / Hasse原理 / 有限性定理 / Hodge構造の無限小変動 / モチフィツクコホモロジー / 混合Hodge加群 / レギュレーター写像 / 数論的多様体 / 有限性 / p-進ホッヂ理論 / エタールコホモロジー / ススリンホモロジー / Abelの定理 / 高次Chow軍 / 代数的フアイバー空間 / difficulty / abundance / termination / 端射線 / 巨大因子 / 対数対 / 境界因子 / 標準環 / 混合ホッジ構造 / 極小モデル・プログラム / 半直交分解 / 代数的ファイバー空間 / 超離散化 / 9-差分系 / 差分系 / ソリトン方程式 / p-線型方程式 / 代数的可積分系 / 古典函数 / p-線型微分方程式 / p-解析 / 代数的可程分系 / ハイゼンベルク代数 / スペクトル幾何学 / 点付き代数曲線 / 閉軌道空間 / バンレヴェ方程式 / KZB方程式 / 無限自由度の可積分系 / 双一次型式 / 超離散系 / ソリトンカルオートマトン / 離散パンルヴェ方程式 / 完全積分可能系 / 数値実験 / 有限要素法 / 誤差解析 / 数値解析 / 離散化 / 微分方程式 / アーベル ヤコビ写像 / 小平・Spencer写像 / 完全交差多様体 / ホッヂ構造(のvariation) / Chow群上のフィルター / 球関数 / モデュライ空間 / 鏡多様体 / ゲージ理論 / 芽形場理論 / 結び目 / 不変量 / 3・4次元多様体 / モジュラー表現 / 楕性剰余群 / 不足群 / p-ブロック / 有限群 / ユニタリ表現 / 種数 / 数論的代数幾何学 / 位相場理論 / Casson不変量 / Jones-Witten不変量 / リーマン面の写像類群 / 数論幾何 / 連結グラフ / ア-ベル多様体 / 代数多様体の有理点 / ディオファントス問題 / ヂリクレ-問題 / 惰性指数 / 局所共形ケ-ラ-空間 / 共形平坦 / 概ケ-ラ-空間 / 概複素構造 / 曲率テンソル Less
  • Research Projects

    (60 results)
  • Research Products

    (153 results)
  • Co-Researchers

    (140 People)
  •  The study of algebraic varieties related to Calabi-Yau varieties in positive characteristicPrincipal Investigator

    • Principal Investigator
      桂 利行
    • Project Period (FY)
      2023 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      The University of Tokyo
  •  Mathematics on Calabi-Yau manifolds and related topicsPrincipal Investigator

    • Principal Investigator
      Katsura Toshiyuki
    • Project Period (FY)
      2020 – 2023
    • 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 2024 2023 2022 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] 楕円曲面2022

    • Author(s)
      桂 利行
    • Total Pages
      244
    • Publisher
      岩波書店
    • ISBN
      9784000298308
    • Data Source
      KAKENHI-PROJECT-20K03530
  • [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] Decomposed Richelot isogenies of Jacobian varieties of hyperelliptic curves and generalized Howe curves2024

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

      Commentarii Mathematici Universitatis Sancti Pauli

      Volume: accepted

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23K03066
  • [Journal Article] Normal forms for quasi-elliptic Enriques surfaces and applications2024

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

      Epijournal de Geometrie Algebrique

      Volume: accepted

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03066
  • [Journal Article] Coble surfaces in characteristic two2023

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

      Journal of the Mathematical Society of Japan

      Volume: 75 Issue: 4 Pages: 1287-1337

    • DOI

      10.2969/jmsj/87568756

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K03530, KAKENHI-PROJECT-20H00112, KAKENHI-PROJECT-23K20209
  • [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 Issue: 4 Pages: 106558-106558

    • DOI

      10.1016/j.jpaa.2020.106558

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03614, KAKENHI-PROJECT-20K03530
  • [Journal Article] Decomposed Richelot isogenies of Jacobian varieties of curves of genus 32021

    • Author(s)
      T. Katsura
    • Journal Title

      J. Algebra

      Volume: 588 Pages: 129-147

    • DOI

      10.1016/j.jalgebra.2021.08.020

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03530
  • [Journal Article] On the multicanonical systems of quasi-elliptic surfaces2021

    • Author(s)
      KATSURA Toshiyuki、SAITO Natsuo
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 73 Issue: 4 Pages: 1253-1261

    • DOI

      10.2969/jmsj/85058505

    • NAID

      130008106927

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05208, KAKENHI-PROJECT-20K03530
  • [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 Pages: 390-459

    • DOI

      10.14231/ag-2020-012

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03614, KAKENHI-PROJECT-20H00112, KAKENHI-PROJECT-23K20209
  • [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 Issue: 1 Pages: 283-300

    • 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] On Enriques surfaces in characteristic 2 with a finite group of automorphisms2018

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

      J. Algebraic Geometry

      Volume: 27 Issue: 1 Pages: 173-202

    • DOI

      10.1090/jag/697

    • 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 Pages: 85-106

    • DOI

      10.1016/j.jalgebra.2014.10.052

    • Peer Reviewed
    • 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] 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] On Ikeda's conjecture on the period of the Duke-Imamoglu-Ikeda lift2015

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

      Proc. London Math. J.

      Volume: 111 Issue: 2 Pages: 445-583

    • DOI

      10.1112/plms/pdv011

    • NAID

      120006459648

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-23224001, KAKENHI-PROJECT-25247001
  • [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 Issue: 4 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 Issue: 1 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

      Journal of the London Mathematical Society

      Volume: 85 Issue: 2 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] A note on a Supersingular K3 surface in characteristic 2, " Geometry and Arithmetic"2012

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

      European Mathematical Society (C. Faber, G. Farkas, R.de Jong, eds.)

      Volume: 352 Issue: 1 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 Issue: 7 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] Kummer surfaces and quadric line complexes2024

    • Author(s)
      桂 利行
    • Organizer
      第19回代数・解析・幾何学セミナー, 鹿児島大学
    • Data Source
      KAKENHI-PROJECT-23K03066
  • [Presentation] On the classification of Enriques surfaces with finite automorphism group2023

    • Author(s)
      桂 利行
    • Organizer
      Aspects of Algebraic Geometry, Cetraro, Italy,
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03530
  • [Presentation] On the moduli of quasi-elliptic Enriques surfaces in characteristic 22023

    • Author(s)
      桂 利行
    • Organizer
      K3 Surfaces, Enriques surfaces, and Related Topics研究集会、名古屋大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03530
  • [Presentation] 正標数のK3曲面2023

    • Author(s)
      桂 利行
    • Organizer
      Encounter with Mathematics, 中央大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03530
  • [Presentation] On the classification of Enriques surfaces with finite automorphism group,2023

    • Author(s)
      桂 利行
    • Organizer
      新潟代数シンポジウム, 新潟大学
    • Data Source
      KAKENHI-PROJECT-23K03066
  • [Presentation] Kummer surfaces and quadric line complexes2023

    • Author(s)
      桂 利行
    • Organizer
      湯布院代数幾何学ワークショップ, 日本文理大学湯布院研修所
    • Data Source
      KAKENHI-PROJECT-23K03066
  • [Presentation] Classification of Coble surfaces with finite automorphism group in characteristic 22022

    • Author(s)
      桂 利行
    • Organizer
      第26回代数曲面ワークショップat常三島、徳島大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03530
  • [Presentation] 正標数の代数幾何2022

    • Author(s)
      桂 利行
    • Organizer
      第20回岡シンポジウム、奈良女子大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03530
  • [Presentation] Decomposed Richelot isogenies of curves of genus 32021

    • Author(s)
      桂 利行
    • Organizer
      同種写像理論とその暗号への応用(九州大学マス・フォア・インダストリ研究所(オンライン))
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03530
  • [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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  • 140.  GEER Gerard Van Der
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