Katsura Toshiyuki 桂利行

… Alternative Names

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

Arithmetic of algebraic varieties with trivial canonical bundlePrincipal InvestigatorOngoing
- Principal Investigator
  
  桂利行
- 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
- 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

[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] Koecher-Maass series of the Ikeda lift for U(m,m)2016
- Author(s)
  H. Katsurada
- Journal Title
  
  Kyoto J. Math
  
  Volume: 未定
- 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
- 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
- Open Access / Acknowledgement Compliant / Peer Reviewed
- 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
- 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
- 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
- Open Access / Acknowledgement Compliant / Peer Reviewed
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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] 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
- Int'l Joint Research / 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
- Int'l Joint Research / 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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] 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 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] 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

1. SAITO Takeshi (70201506)

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2. TERASOMA Tomohide (50192654)

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10. OKAMOTO Kazuo (40011720)

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11. EGUCHI Tohru (20151970)

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19. MARUYAMA Masaki (50025459)

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24. 榎本陽子 (90151993)

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25. 藤原正彦 (00087074)

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Katsura Toshiyuki 桂 利行

KATSURA Toshiyuki 桂 利行

金子 晃 カネコ アキラ

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Arithmetic of algebraic varieties with trivial canonical bundlePrincipal InvestigatorOngoing

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Arithmetic and Geometry over Calabi-Yau VarietiesPrincipal Investigator

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Study on algebraic varieties related to moduli spaces and algebraic cyclesPrincipal Investigator

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正標数の高次元カラビ・ヤウ多様体の研究Principal Investigator

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Arithmetic of Algebraic Varieties and their Moduli SpacesPrincipal Investigator

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Katsura Toshiyuki 桂利行

KATSURA Toshiyuki 桂利行

金子晃カネコアキラ