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KATO Kazuya  加藤 和也

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KATO Kazuya Assistant p  加藤 和也

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Researcher Number 90111450
Affiliation (based on the past Project Information) *help 2015: シカゴ大学, 教授
2010: 京都大学, 理学(系)研究科(研究院), 教授
2001 – 2010: Kyoto University, Grad. Sch. of Sci., Professor, 大学院・理学研究科, 教授
2009: シカゴ大学, 数学科, 教授
2005 – 2006: 京都大学, 大学院理学研究科, 教授 … More
2001 – 2002: Kyoto University, School of Sciences, Professor, 大学院・理学系研究科, 教授
2001: 京都大学, 理学系研究科, 教授
1997 – 2001: 東京大学, 大学院・数理科学研究科, 教授
2000: Univ.of Tokyo, Graduate school of Mathematical Sciences, Prof., 大学院・数理科学研究科, 教授
1997 – 1998: 東京大学, 数理科学研究科, 教授
1996: 東京工業大学, 理学部, 教授
1993 – 1994: 東京工業大学, 理学部, 教授
1990 – 1991: 東京大学, 理学部, 教授
1987 – 1989: 東京大学, 理学部, 助教授 Less
Review Section/Research Field
Principal Investigator
Algebra / 代数学・幾何学 / Algebra
Except Principal Investigator
Algebra / Algebra / 代数学・幾何学 / Geometry / 解析学
Keywords
Principal Investigator
岩澤理論 / Hodge構造 / 退化 / 保型形式 / アーベル多様体 / 極小モデル / SL(2)-orbit / 代数多様体 / Hodge structure / L関数 … More / Iwasawa theory / 対数的アーベル多様体 / 導手 / ゼータ関数 / 非可換岩澤理論 / ホッジ構造 / 数論的代数幾何 / 玉河数 / l進層 / ゼ-タ関数 / 類体論 / Galois group / reglator / P-adic veta function / K_1-group / Iwasawa algebra / Iwasawa theroy / Non-commutafice Iwasawa theroy / K_1 / P進 / 非可換 / 単数基準 / 普遍ノルム / $p$進ゼータ関数 / 楕円曲線 / ガロワ拡大 / ルート数 / セルマー群 / 主予想 / 総実代数体 / 非可損岩澤理論 / height pairing / regnlator / P進Hodge構造 / ガロワ群 / regulator / Hudge構造 / P進ゼータ関数 / K_1群 / 岩澤代数 / L-function / ramificaiton theory / log abelian variety / Log geometry / Clarifying space / nilpotent orbit / Rimemann-Roch / 分岐 / スキーム / 複素トーラス / 分岐理論 / 対数幾何 / SL(2)軌道 / 分類空間 / log geometry / conductor / BSD conjecture / abelian variety / moduler forms / Harse zeta function / リーマン・ヒルベルト対応 / コンパクト化 / 微分加群 / エタール・コホモロジー / 代数体 / 導手公式 / log代数多様体 / Birch Swinnerton-Dyer予想 / log幾何 / BSD予想 / ハセ・ゼータ関数 / Galois representation / Hecke character / log rithmic structure / zeta function / minimal model / semistable reduction / number theory / algebraic varieties / 基本群 / 局所定数 / 形式群 / 岩沢理論 / P進Hodge理論 / ガロア表現 / ヘッケ指標 / 対数構造 / 半安定退化 / 整数論 / 特異点の解消 / 高次円単数 / Si(2)-orbit / Firfing ideaf / P進hodge構造 / 対数的幾何学 / アルバネーゼ多様体 / Eisenstein series / 分類理論 / 森理論 / 偏極構造 / 明示相互法則 / モチ-フ / P進ホッジ理論 … More
Except Principal Investigator
モジュライ空間 / モジュライ / 代数多様体 / 周期写像 / 一般型多様体 / ツイスター空間 / カラビ・ヤウ多様体 / ホッジ理論 / 分類空間 / 導手公式 / エタール・コホモロジー / 分岐 / 局所体 / 導手 / 整数論 / 代数幾何学 / 特異点 / コンパクト化 / characteristic class / 特性類 / ミラー対称性 / conductor formula / etale cohomology / 交点理論 / ベクトル束 / Hodge theory / K3曲面 / 半群論 / 退化 / 対数的中間ヤコビ多様体 / 対数的混合ホッジ構造 / ネロンモデル / 混合対数的ホッジ構造 / リー群 / 局所化 / K理論 / 自己ホモトピー群 / ゲージ群 / 1-進層 / ガロワ表現 / 1進コホモロジー / 代数学 / 数論幾何学 / 国際研究者交流 / 岩澤主予想 / 岩澤理論 / 数論幾何 / 離散系列表現 / 保型形式 / 無限可積分系 / 共形場理論 / 位相場の理論 / ホッジ構造 / 鏡対称性 / 一般多様体 / ログ幾何学 / デデキント和 / スロープ不等式 / 対数的幾何学 / 対数的ホッジ理論 / 算術的コーエン・マコーレー束 / Orbifold 特性類 / 非特殊線形系 / 安定性 / ルート系 / 双エルミート構造 / 堀川指数 / 2次元正規特異点 / slope 安定束 / 加藤曲面 / 基本図式 / log geometry / 対数的混合ホッジ理論 / 混合版基本図式 / Boundary value / Lie group / Unitary representation / Harmonic analysis / Homogeneous space / Symmetric space / 半単純対称空間 / 主系列表現 / 境界値問題 / 半単純リー群 / 代数解析 / 境界値 / ユニタリ表現 / 調和解析 / 等質空間 / 対称空間 / Dynkin mathematics / Semigroup / Commutative algebra / Arithmetic algebraic geometry / Singularity / 超平面配置 / パンルベ方程式 / 数論的代数幾何 / 組紐群 / 半群 / 2次元可解模型 / アインシュタイン・ケーラー多様体 / 可換環 / 多様体の大域的研究 / 双有理幾何学 / 複素微分幾何 / ディンキン数学 / 可換理論 / 数理的代数幾何 / exceptional group / nilpotent group / principal bundle / gauge group / classical group / K-theory / self homotopy set / KO理論 / e-不変量 / K-理論 / 随伴束 / LS category / nilpotency / ホモトピー代数 / ホモトピー論 / 巾零群 / 例外リー群 / 例外群 / 中零群 / 主東 / 古典群 / 自己ホモトピー集合 / Beilinson's Hodge conjecture / Jacobian ring / open complete intersection / mixed version of SL(2)-orbit theore / varieties of general typem / period map / Compactification of classifying space / Log Hodge structure / Frobenius多様体 / ガロワ点 / リーマン面の退化 / Bloch-Ogus-Kato complex / minimal model / log manifold / log Hodge構造のfine moduli / Green予想 / Bloch予想の対数版 / ヤコビ環 / 対数的アーベル・ヤコビ写像 / 対数的周期写像 / 対数的(混合)ホッジ構造 / 共形ケーラー構造 / モーデル・ヴェイユ格子 / ベイリンソン・ホッジ予想 / 安定擬アーベル多様体 / 対数中間ヤコビ多様体 / (混合)対数ホッジ構造 / Beilinson型Hodge予想 / Jacobi環 / 開完全交叉多様体 / 混合型SL(2)軌道定理 / 分類空間のコンパクト化 / log Hodge構造 / local field / Euler number / Lefschetz trace formula / l-adic sheaf / ramification / 分岐理論 / リジッド解析幾何 / 分岐群 / ガロワ群 / Grothendieck-Ogg-Shafarevichの公式 / Hasse-Arfの定理 / Grothendieck-Ogg-Shafarevich公式 / Artin-Schrier-Witt被覆 / Swan導手 / 1進層 / Euler数 / Lefschetz跡公式 / l-進層 / Painleve equations / Arithmetic geometry / Rigid geometry / Topological field theory / Modular functor / Conformal field theory / Moduli space / Integrable systems with infinite degrees of freedom / p進微分方程式 / Artin-Mazur形式群 / 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 / モノドロミー表現 / KZ方程式 / 重複ファイバー / 曲線の退化 / ヤコビ多様体 / 代数曲線 / 無限次元代数 / 政論幾何学 / パンルヴェ方程式 / 剛幾何学 / 位相的場の理論 / モジュラー函手 / minimum distance / algebraic-geometric code / explicit reciprocity law / Teichmuller groupoid / unramified cyclic extension / power basis / class number / fundamental unit / タイムヒーラー基本亜群 / 相互法則 / チャウ形式 / タイヒムーラー基本亜群 / ガロアの逆問題 / 最小距離 / 代数幾何符号 / 一般相互法則 / タイヒミュラー基本亜群 / 不分岐巡回拡大 / 巾底 / 類数 / 基本単数 / resolution of singularities / Hasse-Weil L function / log scheme / semi-stable reduction / weight spectral sequence / Galois representation / Stiefel-Whitney類 / エタール コホモロジー / log幾何 / エタールコホモロジー / Hasse-Weil L関数 / 特異点解消 / Hasse-Weil 1.関数 / logスキーム / 準安定還元 / 重さスペクトル系列 / Symplectic Varieties / Vector Bundles / Canonical Rings / Algebraic Varieties / Torelli Problem / Invariant Functions / Compactifications of Moduli / Logarithmic Hodge Theory / 有理端曲線 / symplectic多様体 / Log Hodge構造 / 特異シンプレクティック多様体 / 2次包 / 標準束公式 / シンプレクティック多様体 / 標準環 / Torelli問題 / 不変式 / モジュライのコンパクト化 / 対数的Hodge構造 / maximal abelian extension / Greenberg conjecture / Iwasawa theory / ideal class group / セルマ-群 / 最大アーベル拡大 / グリーンバーグ予想 / イデアル類群 / Morsification / Calabi-Yau manifolds / Canonical curves / K3 surfaces / Pluri-canonical forms / Algebraic varieties / Logarithmic geometry / 加群拡大の微分作用素による自明化 / スペクトル・エータ写像 / 標準曲面のAlbanese写像 / 半安定層の分類空間 / Brill-Noether軌跡と偏極K3曲面 / 藤田の自由性予想 / 単純特異点のMckay対応 / Log幾何とHodge構造の退化 / abel多様体の普遍族 / 小平エネルギー / Reidのflip予想 / Clifford指数 / Calabi-Yau多様体 / 藤田の自由予想 / 部分コンパクト化 / Hodge構造の分類空間 / calabi-yau多様体 / 多重標準形成 / Log 幾何学 / Hodge 理論 / Morse化問題 / Lalabi-Yau多様体 / 標準曲線 / K_3曲面 / 多重標準形式 / Log幾何学 / Hodge理論 / SEMI-GROUP THEORY / ARITHMETIC GEOMETRY / ALGEBRAIC GEOMETRY / RING THEORY / GROUP THEORY / NUMBER THEORY / MATHEMATICAL SCIENCE / ALGEBRA / 表現論 / 組合せ論 / 数論的幾何学 / 環論 / 群論 / 数理科学 / 力学系 / 葉層構造 / 微分同相 / 位相亜群 / 多様体 / 大域的Torelli定理 / Calabi-You多様体 / log周期写像 / 混合log Hodge構造 / log Hodge構造の分類空間 / 曲面上の非零有効因子 / 対数的局所系の高次準像 / 対数的ピカール多様体 / 一般大域的トレッリ定理 / 混合版ボレル・セール コンパクト化 / 混合版SL(2)軌道定理 / 対数的ホッジ構造の分類空間 / 混合版SU(2)-軌道の空間 / 対数的ネロンモデル / 一般大域的トレリ定理 / 混合対数ホッジ構造 / 非クーラー曲面 / 2次元特異点 / 角付多様体 / 混合版SL(2)-軌道の空間 / 混合版冪零軌道の空間 / トレリ定理 / 混合版ボレル・セールコンパクト化 / 混合版SL(2)軌道 / エタールホモトピー / ホモトピー可換 / 有理ホモトピー / 高次のホモトピー結合性 / Samelson積 / 自己ホモトピ-群 / 自由ル-プ空間 / 高次のホモトピ-結合性 / ゲ-ジ群 / リ-群 / ベキ零群 / 自由ループ空間 / 写像空間 / ファイバーワイズトポロジーL.Sカテゴリー / 自由ループ群 / 不確定特異点 / Galois表現 / 特性サイクル・特性類 / ε因子 / 1進フーリエ変換 / 切除公式 / e進層 / Swan類 / Kummer被覆 / l進層 / 有理点 / p進L関数 / 楕円曲線 / Stickelberger元 / Euler系 / ドイツ:韓国 / Kolyvagin系 / Fittingイデアル / 対数スキーム / 小林・落合の定理 / 降下定理 / 剛性定理 / 対数幾何 / 藤田の近似定理 / 算術的極限予想 / 算術的体積関数 / 双有理アラケロフ幾何 / 双有理幾何 / アラケロフ幾何 / ディオファントス幾何 / 代数幾何 / 正標数 / p-進ホッジ理論 / モノドロミー / 可積分系 / 球関数 / 特殊関数 / 超幾何関数 / 離散群 / 行列式 / ゼータ関数 / モデュライ空間 / 3次元多様体 / 鏡多様体 / ゲージ理論 / 芽形場理論 / 写像類群 / 結び目 / 不変量 / 3・4次元多様体 / フェルマ-多様体 / タイヒミュラ-群 / 組み紐群 / ガロア表現 / L関数 / モジュラ-形式 Less
  • Research Projects

    (33 results)
  • Research Products

    (127 results)
  • Co-Researchers

    (119 People)
  •  Theory of mixed log Hodge structures and its applications

    • Principal Investigator
      USUI Sampei
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  非可換岩澤理論とその周辺Principal Investigator

    • Principal Investigator
      加藤 和也
    • Project Period (FY)
      2008 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Theory of log mixed Hodge structures and its applications to geometry

    • Principal Investigator
      USUI Sampei
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Ramification in arithmetic geometry

    • Principal Investigator
      SAITO Takeshi
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Research on algebraic topology and its geometric applications

    • Principal Investigator
      KONO Akira
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Diophantine geometry and moduli problems

    • Principal Investigator
      MORIWAKI Atsushi
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Refined Iwasawa theory and the zeta functions

    • Principal Investigator
      KURIHARA Masato
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Keio University
  •  Non-commutative I wa sawa theoryPrincipal Investigator

    • Principal Investigator
      KATO Kazuya
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Study of algebraic varieties by log Hosge theory

    • Principal Investigator
      USUI Sampei
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Homotopical Algebra and its Geometric Applications

    • Principal Investigator
      KONO Akira
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Graduate School of Science, Kyoto University
  •  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
  •  Cohomological study of arithmetic varieties

    • Principal Investigator
      SAITO Takeshi
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      University of Tokyo
  •  Degeneration of algebraic varieties and log geometryPrincipal Investigator

    • Principal Investigator
      KATO Kazuya
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  数論的代数幾何の研究

    • 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
  •  算術的代数解析の試み:多変数超幾何関数の整数論的研究

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

    • Principal Investigator
      USUI Sampei
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Iwasawa theory of Harse zeta functionsPrincipal Investigator

    • 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
  •  Galois representations arising from etale cohomology

    • Principal Investigator
      SAITO Takeshi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Number Theory and Its Apprication to Discrete Mathematics

    • Principal Investigator
      NAKAHARA Toru
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saga University
  •  P-adic L-functions of modular forms and the Euler systems

    • Principal Investigator
      KURIHARA Masato
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      TOKYO METROPOLITAN UNIVERSITY
  •  Algebraic Geometry and Hodge Theory

    • Principal Investigator
      USUI Sampei
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  ゼータ関数の研究

    • Principal Investigator
      KUROKAWA Nobushige
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  保型形式とL関数の研究

    • Principal Investigator
      水本 信一郎
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  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
  •  数論的代数幾何学の研究Principal Investigator

    • Principal Investigator
      加藤 和也
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  Co-Operative Research Algebra that is a Foundation of Mathematical Science

    • Principal Investigator
      MORITA Yasuo
    • Project Period (FY)
      1992 – 1994
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  Number theory of algebraic varietiesPrincipal Investigator

    • Principal Investigator
      KAWAMATA Yujiro, 加藤 和也
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      University of Tokyo
  •  代数多様体の整数論の研究Principal Investigator

    • Principal Investigator
      加藤 和也
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  不連続群および保型形式の整数論

    • Principal Investigator
      ODA Takayuki
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  多様体上の位相亜群構造の研究

    • Principal Investigator
      坪井 俊
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  代数多様体の整数論の研究Principal Investigator

    • Principal Investigator
      加藤 和也
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  Harmonic Analysis on Symmetric Spaces

    • Principal Investigator
      OSHIMA Toshio
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      University of Tokyo, Faculty of Science, Department of Mathematics
  •  Mathematics on Manifolds.

    • Principal Investigator
      ODA Tadao Professor
    • Project Period (FY)
      1986 – 1988
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      TOHOKU UNIVERSITY

All 2015 2014 2013 2011 2010 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation Book

  • [Book] Classifying space of degererating polarized Hodge strucfures2009

    • Author(s)
      Kazuya Kato, Sampei Usuo
    • Total Pages
      336
    • Publisher
      Princeton University Press
    • Data Source
      KAKENHI-PROJECT-20340006
  • [Book] Classifying spaces of degenerating polarized Hodge structures, Ann. Math. Studies 1692009

    • Author(s)
      Kato, K., Usui, S.
    • Total Pages
      347
    • Publisher
      Princeton Univ(Press)
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Book] Classifying spaces of degenerating polarized Hodge structures2009

    • Author(s)
      Kazuya Kato, Sampei Usui
    • Total Pages
      336
    • Publisher
      Princeton University Press
    • Data Source
      KAKENHI-PROJECT-20340006
  • [Book] Classifying spaces of degenerating mixed Hodge structures, I : Borel-Serre spaces, in “Algebraic Analysis and Around" in honor of Professor Masaki Kashiwara's 60th birthday, Advanced Studies in Pure Math. 542009

    • Author(s)
      Kato, K., Nakayama, C., Usui, S.
    • Total Pages
      36
    • Publisher
      Math. Soc. Japan
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Book] Classifying spaces of degenerating polarized Hodge structures, Ann. Math. Studies 1692009

    • Author(s)
      Kato, K., Usui, S.
    • Total Pages
      347
    • Publisher
      Princeton Univ. Press
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Book] Classifying spaces of degenerating polarized Hodge structures2008

    • Author(s)
      K. Kato, S. Usui
    • Total Pages
      309
    • Publisher
      Ann. Math. Studies, Princeton Univ. Press(印刷中)
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Book] Logarithmic Hodge structures and their moduli

    • Author(s)
      加藤和也, 臼井三平
    • Publisher
      Ann. Math. Studies, Princeton Univ. Press (to appear)
    • Data Source
      KAKENHI-PROJECT-15340009
  • [Book] Logarithmic Hodge structures and their moduli

    • Author(s)
      加藤和也, 臼井三平
    • Publisher
      Ann. Math. Studies, Princeton Univ. Press (to appear)
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340009
  • [Journal Article] Logarithmic abelian varieties, Part IV: Proper models2015

    • Author(s)
      K. Kajiwara, K. Kato, and C. Nakayama
    • Journal Title

      Nagoya Math. J.

      Volume: 219 Pages: 9-63

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340008
  • [Journal Article] Neron models for admissible normal functions2014

    • Author(s)
      Kato, K., Nakayama, C., and Usui, S.
    • Journal Title

      Proc. Janan Acad., Ser. A

      Volume: 90 Pages: 6-10

    • NAID

      120006732742

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340008
  • [Journal Article] モチーフの高さについて2013

    • Author(s)
      加藤和也
    • Journal Title

      第 58 回代数学シンポジウム報告集

      Volume: 58 Pages: 133-139

    • Data Source
      KAKENHI-PROJECT-23340008
  • [Journal Article] Classifying spaces of degenerating mixed Hodge structures, III: Spaces of nilpotent orbits2013

    • Author(s)
      Kato, K., Nakayama, C., and Usui, S.
    • Journal Title

      J. Algebraic Geometry

      Volume: 22 Pages: 671-772

    • NAID

      120006732765

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340008
  • [Journal Article] Classifying spaces of degenerating mixed Hodge structures, III : Spaces of nilpotent orbits2013

    • Author(s)
      K. Kato, C. Nakayama, S. Usui
    • Journal Title

      J. Algebraic Geometry

      Volume: (未定) Issue: 4 Pages: 671-772

    • DOI

      10.1090/s1056-3911-2013-00629-3

    • NAID

      120006732765

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340008
  • [Journal Article] Analyticity of the closures of some Hodge theoretic subspaces2011

    • Author(s)
      Kato, K., Nakayama, C., Usui, S.
    • Journal Title

      arXiv : 1102.3528

      Pages: 1-9

    • NAID

      120006732741

    • Data Source
      KAKENHI-PROJECT-19340008
  • [Journal Article] Analyticity of the closures of some Hodge theoretic subspaces2011

    • Author(s)
      Kato, K., Nakayama, C., Usui, S.
    • Journal Title

      Proc.Janan Acad., Ser.A

      Volume: 87 Pages: 167-172

    • NAID

      120006732741

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340008
  • [Journal Article] Classifying spaces of degenerating mixed Hodge structures, II : Spaces of SL(2)-orbits2011

    • Author(s)
      Kato, K., Nakayama, C., Usui, S.
    • Journal Title

      Kyoto J. Math. : Nagata Memorial Issue. 51-1

      Pages: 149-261

    • NAID

      120006732764

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Journal Article] Log intermediate Jacobians2010

    • Author(s)
      Kato, K., Nakayama, C., Usui, S.
    • Journal Title

      Proc.Japan Acad.,Ser. A86

      Pages: 73-78

    • NAID

      120006732738

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Journal Article] Classifying spaces of degenerating mixed Hodge structures, II : Spaces of SL(2)-orbits2010

    • Author(s)
      Kato, K., Nakayama, C., Usui, S.
    • Journal Title

      Kyoto J.Math. : Nagata Memorial Issue.(arXiv : 1011.4347)

      Volume: 51-1 Pages: 149-261

    • NAID

      120006732764

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Journal Article] Moduli of log mixed Hodge structures2010

    • Author(s)
      Kato, K., Nakayama, C., Usui, S.
    • Journal Title

      Proc. Japan Acad., Ser. A

      Volume: 86 Pages: 107-112

    • NAID

      120006732739

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Journal Article] Log intermediate Jacobians2010

    • Author(s)
      Kato, K., Nakayama, C.Usui, S.
    • Journal Title

      Proc.Japan Acad., Ser.A 86-4, Ser.A

      Pages: 1-6

    • NAID

      120006732738

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Journal Article] Log intermediate Jacobians2010

    • Author(s)
      Kato, K., Nakayama, C., Usui, S.
    • Journal Title

      Proc.Japan Acad., Ser.A

      Volume: 86 Pages: 73-78

    • NAID

      120006732738

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Journal Article] Moduli of log mixed Hodge structures2010

    • Author(s)
      Kato, K., Nakayama, C., Usui, S.
    • Journal Title

      Proc.Japan Acad., Ser. A86

      Pages: 107-112

    • NAID

      120006732739

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Journal Article] Classifying spaces of degenerating mixed Hodge structures, III : Spaces of nilpotent orbits2010

    • Author(s)
      Kato, K., Nakayama, C., Usui, S.
    • Journal Title

      arXiv : 1011.4353

      Pages: 1-82

    • NAID

      120006732765

    • Data Source
      KAKENHI-PROJECT-19340008
  • [Journal Article] Neron models in log mixed Hodge theory by weak fans2010

    • Author(s)
      Kato, Usui, K., Nakayama, C., Usui, S
    • Journal Title

      Proc. Japan Acad., Ser.A

      Volume: 86 Pages: 143-148

    • NAID

      120006732740

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Journal Article] Root numbers, Selmer groups, and non-commutative Iwasawa theory2010

    • Author(s)
      John Coates, Takako Fukaya, Kazuya Kato, Ramdorai Sujatha
    • Journal Title

      Journal of Algebraic Geometry 19

      Pages: 19-97

    • Data Source
      KAKENHI-PROJECT-20340006
  • [Journal Article] Log intermediate Jacobians2010

    • Author(s)
      Kato, K., Nakayama, C., Usui, S.
    • Journal Title

      Proc. Japan Acad., Ser. A 86-4

      Pages: 73-78

    • NAID

      120006732738

    • Data Source
      KAKENHI-PROJECT-19340008
  • [Journal Article] Neron models in log mixed Hodge theory by weak fans2010

    • Author(s)
      Kato, K., Nakayama, C., Usui, S.
    • Journal Title

      Proc.Japan Acad., Ser. A86

      Pages: 143-148

    • NAID

      120006732740

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Journal Article] Classifying spaces of degenerating mixed Hodge structures, III : Spaces of nilpotent orbits2010

    • Author(s)
      Kato, K., Nakayama, C., Usui, S.
    • Journal Title

      arXiv 1011.4353

      Pages: 1-82

    • NAID

      120006732765

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Journal Article] Classifying spaces of degenerating mixed Hodge structures. I. Borel-Serre spaces2009

    • Author(s)
      Kazuya Kato, Chikara Nakayama, Sampei Usui
    • Journal Title

      Advanced Studies in Pure Mathematics 54

      Pages: 187-222

    • Data Source
      KAKENHI-PROJECT-20340006
  • [Journal Article] Moduli of log mixed Hodge structures2009

    • Author(s)
      Kato, K., Nakayama, C.Usui, S.
    • Journal Title

      arXiv : 0910. 445v1

      Pages: 1-9

    • NAID

      120006732739

    • Data Source
      KAKENHI-PROJECT-19340008
  • [Journal Article] Classifying spaces of degenerating mixed Hodge structures, I : Borel-Serre spaces2009

    • Author(s)
      Kato, K., Nakayama, C., Usui, S.
    • Journal Title

      Advanced Studies in Pure Math. 54

      Pages: 187-222

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Journal Article] Logarithmic abelian vavieties II2008

    • Author(s)
      Takeshi Kajiwara, Kazuya Kato, chikara Nakayama
    • Journal Title

      Nagoya Math. J 189

      Pages: 63-138

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Logarithmic abelian varieties II2008

    • Author(s)
      Kajiwara, Takeshi; Kato, Kazuya, Nakayama, Chikara
    • Journal Title

      Nagoya Math. J 189

      Pages: 63-138

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Ramification theory for varieties over a perfect field2008

    • Author(s)
      Kazuya Kato, Takeshi Saito
    • Journal Title

      Annals of Mathematics 168

      Pages: 33-96

    • Data Source
      KAKENHI-PROJECT-18340002
  • [Journal Article] Classitying space of degeneraing mixed Hodge Structwes I2008

    • Author(s)
      K. Kato, C. Nakayama, S. Usui
    • Journal Title

      Advanced Studies in Pure mathematics 54

      Pages: 187-222

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340006
  • [Journal Article] SL(2)-orbit theorem for degeneration of mixed Hodge structure2008

    • Author(s)
      Kato, K., Nakayama, C., Usui, S.
    • Journal Title

      J. Algebraic Geometry 17-3

      Pages: 401-479

    • NAID

      120006732763

    • Data Source
      KAKENHI-PROJECT-19340008
  • [Journal Article] Logarithmic wlelian varietre, II2008

    • Author(s)
      kajiwarc, takeshi, kato, Kazuya, Nakayama, chikara
    • Journal Title

      Nagoya math. J 189

      Pages: 63-138

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] SL(2)-orbit theorems for degeneafion of mixed hodse structure2008

    • Author(s)
      kato, kazuya, Nakayama, Chikara, usui, Sampei
    • Journal Title

      J. of Algebraic Geometry 317

      Pages: 401-479

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Analyric log-Picard vowetien2008

    • Author(s)
      T. Kajiwara, K. Kato, C. Nakayama
    • Journal Title

      Nagoya Math. J 191

      Pages: 149-180

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340006
  • [Journal Article] SL(2)-orbit theorem for degenenation of miead Hoage Structwes2008

    • Author(s)
      K. Kato, C. Nakayama, S. Usui
    • Journal Title

      J. Algebraic geometry 17

      Pages: 401-479

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340006
  • [Journal Article] Logarithmic abelian varieties, I2008

    • Author(s)
      Kajiwara, Takeshi; Kato, Kazuya Nakayama, Chikara
    • Journal Title

      J. Math. Sci. Univ. of Tokyo. 15

      Pages: 69-193

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Analytic log Picard varieties2008

    • Author(s)
      Kajiwara, K., Kato, K., Nakayama, C.
    • Journal Title

      Nagoya Math. J. 191

      Pages: 149-180

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Journal Article] SL(2)-orbit theorem for degeneration of mixed Hodge structure2008

    • Author(s)
      Kazuya Kato, Chikara Nakayama, Sampei Usui
    • Journal Title

      Journal of Algebraic Geometry 17

      Pages: 401-479

    • NAID

      120006732763

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] SL(2)-orbit theorem for degeneration of mixed Hodge structure2008

    • Author(s)
      Kato, K., Nakayama, C., Usui, S.
    • Journal Title

      J. Alg. Geom. 17-3

      Pages: 401-479

    • NAID

      120006732763

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Journal Article] Logarithmic abelian vavieties I2008

    • Author(s)
      Takeshi Kajiwara, Kazuya Kato, chikara Nakayama
    • Journal Title

      J. Math. Sci. Univ. of Tokyo 15

      Pages: 69-193

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Logarithmic abelion vaineties, I2008

    • Author(s)
      kajiwara, takeshi, kato, kazuya, nakayamc, Chikara
    • Journal Title

      J. Math. Sci. univ, of Tokyo 15

      Pages: 69-193

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Analytic log Picard varieties2008

    • Author(s)
      Kajiwara, T., Kato, K., Nakayama, C.
    • Journal Title

      Nagoya Math.J. 191

      Pages: 149-180

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Journal Article] SL(2)-orbit theorem for degeneration of mixed Hodge structure2008

    • Author(s)
      Kato, K., Nakayama, C., Usui, S.
    • Journal Title

      J.Algebraic Geometry 17-3

      Pages: 401-479

    • NAID

      120006732763

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Journal Article] SL(2)-orbit theorem for degenelation of mixed Hodge structure2008

    • Author(s)
      Kato, Kazuya; Nakayama, Chikara usui, Sampei
    • Journal Title

      J. of Algebaic Geometry 17

      Pages: 401-479

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Ramification theory of schemes over a perfect field2008

    • Author(s)
      K. Kato, T. Saito
    • Journal Title

      Annals of Mathematics 168

      Pages: 33-96

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340002
  • [Journal Article] SL (2)-orbit theorem for degeneration of mixed Hodge structure2007

    • Author(s)
      K. Kato, C. Nakayama, S. Usui
    • Journal Title

      J. Algebraic Geometry online

    • NAID

      120006732763

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Journal Article] Iwasawa theory and geneializatios2007

    • Author(s)
      kato, kazuya
    • Journal Title

      proc. ICM 2006, I

      Pages: 335-357

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Iwasawa theory and generalizations2007

    • Author(s)
      Kato, Kazuya
    • Journal Title

      Proc. ICM 2006 I

      Pages: 335-357

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Universal norms of p-units in some non-commutative Galois extensions2006

    • Author(s)
      Kazuya Kato
    • Journal Title

      Doc. Math. Extra Vol.

      Pages: 551-565

    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] A formulation of conjecture, on p-adic zeta functions in non-commutatwe Iwcoama theory. p2006

    • Author(s)
      Fukaya, Takako, kato, kazuya
    • Journal Title

      Amer. math. Soc. Transl 219

      Pages: 1-85

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Universal norms of P-units in some non-commutative Galois extensions2006

    • Author(s)
      Kato, Kazuya
    • Journal Title

      Doc. Math. Extra vol

      Pages: 551-566

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Arithmetic structures of CMSZ fake projective planes2006

    • Author(s)
      Fumiharu Kato, Hiroyuki Ochiai
    • Journal Title

      J. Algebra 305

      Pages: 1166-1185

    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] A formulation of conjectures on P-adic zeta functions in non-commutative Iwasawa theory2006

    • Author(s)
      Takako Fukaya, Kazuya Kato
    • Journal Title

      Amer. Math. Soc. Transl. 219

      Pages: 1-85

    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] A formulation of conjecture on p-adic zeta functions in non-commutative Iwasawa theory2006

    • Author(s)
      Fukaya, Takako; Kato, Kazuya
    • Journal Title

      Amer. Math. Soc. Transl 219

      Pages: 1-85

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Rigid geometry and applications2006

    • Author(s)
      F.Kato, K.Fujiwara
    • Journal Title

      Advanced Studies in Pure Math. 45

      Pages: 325-384

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14102001
  • [Journal Article] univeisal norms of p-wruts in some non-commutatne Golois exfewoiom2006

    • Author(s)
      kato, kazuya
    • Journal Title

      Doc. Math. Extravel

      Pages: 551-566

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Non archimedean orbifolds covered by Mumford curves2005

    • Author(s)
      Fumiharu Kato
    • Journal Title

      J.Algebvaic geometry 14

      Pages: 1-34

    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Zur Entartung schwach verzweigter Gruppenoperationen auf Kurven.2005

    • Author(s)
      Kato, Fumiharu
    • Journal Title

      J.Reine Angew.Math. 589

      Pages: 201-236

    • NAID

      120006581747

    • Data Source
      KAKENHI-PROJECT-14102001
  • [Journal Article] Quasi-unipotent logarithmic Riemann-Hilbert correspondence2005

    • Author(s)
      L.Illusie, K.Kato, C.Nakayama
    • Journal Title

      J.Math.Sci.Univ.Tokyo 12

      Pages: 1-66

    • NAID

      110001131872

    • Data Source
      KAKENHI-PROJECT-15340009
  • [Journal Article] The GL_2 main conjecture for elliptic curves without complex multiplication2005

    • Author(s)
      J.Coater, T.Fukaya, K.Kato, R.Sujatha, O.Venjakob
    • Journal Title

      Publ.Math.IHES 101

      Pages: 53-101

    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] K_1 of same non-commutative complete group rings2005

    • Author(s)
      Kazuya Kato
    • Journal Title

      K-theory 34

      Pages: 99-140

    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] K_1of some non-commutative completed group rings.2005

    • Author(s)
      Kato, Kazuya
    • Journal Title

      K-Theory 34・2

      Pages: 99-140

    • Data Source
      KAKENHI-PROJECT-15340021
  • [Journal Article] Quasi-unipotent logarithmic riemann-Hilbent correspondenec2005

    • Author(s)
      Illume, luc, kato, kazuya, Nakayama, Chikara
    • Journal Title

      J. math, Sci. univ. Tokyo 12

      Pages: 1-66

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Quasi-unipotent logarithmic Riemann-Hilbert correspondences2005

    • Author(s)
      L.Illusie, K.Kato, C.Nakayama
    • Journal Title

      J.Math.Sci Univ.Tokyo 12

      Pages: 1-66

    • NAID

      110001131872

    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] The $p$-adic icosahedron.2005

    • Author(s)
      Kato, Fumiharu
    • Journal Title

      Notices Amer.Math.Soc. 52-7

      Pages: 720-727

    • Data Source
      KAKENHI-PROJECT-14102001
  • [Journal Article] Zur Entartung schwach verzweigter Gruppenoperationen auf Kurven2005

    • Author(s)
      Comelissen, Gunther, Kato, Fumiharu
    • Journal Title

      J.Reine Angew.Math. 589

      Pages: 201-236

    • NAID

      120006581747

    • Data Source
      KAKENHI-PROJECT-17340007
  • [Journal Article] $Ksb 1$ of some non-commutative completed group rings2005

    • Author(s)
      Kato, Kazuya
    • Journal Title

      $K$-Theory 34-2

      Pages: 99-140

    • Data Source
      KAKENHI-PROJECT-17340007
  • [Journal Article] The GL2-main conjectwe for elliptic curves without complex multiplications2005

    • Author(s)
      coakeo, John, Fukaya, Takako, kato, kazuyc
    • Journal Title

      Publ. Math. IHES 101

      Pages: 163-208

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] K_1 of some non-commufative completed group rings2005

    • Author(s)
      Kato, Kazuya
    • Journal Title

      K-theory 34

      Pages: 99-140

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Quasi-unipotent logarithmic Riemann-Hilbent Correspondences2005

    • Author(s)
      Illusie, Luc; Kato, Kazuya; Nakayama, Chikara
    • Journal Title

      J. Math. Sci, Univ. Tokyo 12

      Pages: 1-66

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Quasi-unipotent logarithmic Riemann-Hilbert correspondences2005

    • Author(s)
      Illusie, L., Kato, K., Nakayama, C.
    • Journal Title

      J.Math.Sci.Univ.Tokyo 12-1

      Pages: 1-66

    • NAID

      110001131872

    • Data Source
      KAKENHI-PROJECT-17340007
  • [Journal Article] K_{1} of some non-commutative completed group rings2005

    • Author(s)
      Kazuya Kato
    • Journal Title

      K-theory 34

      Pages: 99-140

    • Data Source
      KAKENHI-PROJECT-17340010
  • [Journal Article] Non-archimedean orbifolds covered by Mumford curves2005

    • Author(s)
      Fumiharu Kato
    • Journal Title

      Journal of Alg.Geom. 14

      Pages: 1-34

    • Data Source
      KAKENHI-PROJECT-14102001
  • [Journal Article] The GL2-main conjecture for elliptic curnes without complex multip. lication.2005

    • Author(s)
      Coates, J.; Fukaya, T.; Kato, K.; Sujatha, R; Venjakob, O
    • Journal Title

      Publ. Math. IHES 101

      Pages: 163-208

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] On the conductor formula of Bloch2004

    • Author(s)
      Kato, Kazuya; Saito, Takeshi
    • Journal Title

      Publ. Math. IHES 100

      Pages: 5-151

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] On the conductor formula of Bloch2004

    • Author(s)
      Kazuya Kato, Takeshi Saito
    • Journal Title

      Publications Mathematiques, IHES 100

      Pages: 5-151

    • Data Source
      KAKENHI-PROJECT-14340002
  • [Journal Article] on the cond conductor formula of Bloch2004

    • Author(s)
      Kato, kazuya, saifo, Takeshi
    • Journal Title

      publ. math IHES 100

      Pages: 5-151

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] On the conductor formula of Bloch2004

    • Author(s)
      Kazuya Kato, Takeshi Saito
    • Journal Title

      Publ.Math.IHES 100

      Pages: 5-151

    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] On the conductor formula of Bloch2004

    • Author(s)
      Kazuya Kato, Takeshi Saito
    • Journal Title

      Publications Mathematiques IHES 100

      Pages: 5-151

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340002
  • [Journal Article] p-adic Hodge theory and values of zeta functions of modular forms2004

    • Author(s)
      Kazuya Kato
    • Journal Title

      Asterisque 295

      Pages: 117-290

    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] On the conductor formula of Bloch2004

    • Author(s)
      Kazuya Kato, Takeshi Saito
    • Journal Title

      Publ.Math.IHES. 100

      Pages: 5-151

    • Data Source
      KAKENHI-PROJECT-15340009
  • [Journal Article] P-adic Hodge theory and values of zeta functions of modular forms2004

    • Author(s)
      Kato, Kazuya
    • Journal Title

      Asterisque 295

      Pages: 117-290

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] On the conductor formula of Bloch2004

    • Author(s)
      Kazuya kato, Takeshi Saito
    • Journal Title

      Publications Mathematiques IHES 100

      Pages: 5-101

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340002
  • [Journal Article] p-adic Hodge theory and values of zeta functions of modular forms2004

    • Author(s)
      Kazuya Kato
    • Journal Title

      Asterisque 295

      Pages: 117-290

    • Data Source
      KAKENHI-PROJECT-15340009
  • [Journal Article] p-adic Hodge theory and values of zeta functions of modular forms. Cohomologies p-adiques et applications arithmetiques. III2004

    • Author(s)
      Kazuya Kato
    • Journal Title

      Asterisque 295

      Pages: 117-290

    • Data Source
      KAKENHI-PROJECT-14102001
  • [Journal Article] P-adic hodge theory and value of zeta fumctions of elliptic modular forms2004

    • Author(s)
      Kato, kazuya
    • Journal Title

      asterisque 295

      Pages: 117-240

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Remification theory of schemes over a perfect field

    • Author(s)
      Kazuya Kato, Takeshi Saito
    • Journal Title

      Annals of Mathematics (掲載予定)

    • Data Source
      KAKENHI-PROJECT-18340002
  • [Journal Article] Analytic log Picard varieties

    • Author(s)
      Kajiwara, Takeshi; Kato, Kazuya Nakayama, Chikara
    • Journal Title

      Nagaya Math. J (掲載確定)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Ramification theory for varieties over a perfect field

    • Author(s)
      Kazuya Kato, Takeshi Saito
    • Journal Title

      Annals of Mathematics (accepted for publication)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340002
  • [Journal Article] K_1 of some non-commutative Iwasawa algebras

    • Author(s)
      Kazuya Kato
    • Journal Title

      K-theory (発表予定)

    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Ramification theory for ranieties over a perfect field

    • Author(s)
      Kato, Kazuya; Saito, Takeshi
    • Journal Title

      Amnals of Math (掲載確定)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Ramification theory of schemes over a perfect field

    • Author(s)
      Kazuya kato, Takeshi Saito
    • Journal Title

      Annals of Mathematics (掲載予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340002
  • [Journal Article] Logarithmic abelian varieties II

    • Author(s)
      Kato Kazuya, Takeshi Kajiwara, Chikara Nakayama
    • Journal Title

      Nagoya Mathematical Journal (掲載確定)

    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Ramification theory for vaietren ore apevfect freld

    • Author(s)
      kato, Kazuya, Saifo, Takeshi
    • Journal Title

      in Annals of Math (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Logarithmic abeli an varieties, Part III : Logarithmic elliptic curves and nodular curves

    • Author(s)
      T. Kajiwara, K. Kato, C. Nakayama
    • Journal Title

      Nagoya Math. J.

      Volume: to appear(未定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340008
  • [Journal Article] Ramification theory of schemes over a perfect field

    • Author(s)
      Kazuya Kato, Takeshi Saito
    • Journal Title

      Annals of Mathematics (掲載予定)

    • Data Source
      KAKENHI-PROJECT-14340002
  • [Journal Article] Classifying opaces of degenerating polarizeol Hoelge structures

    • Author(s)
      Kato, Kazuya; Usui, Sampei
    • Journal Title

      Annuals of Math. Studies (掲載確定)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Clarsifying spaces of degeneiating polarized Hodge structures

    • Author(s)
      kato, kazuya, Usui, sampei
    • Journal Title

      in Annals of Math, Studies (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] The GL_2 main conjecture for elliptic curves without complex multiplication

    • Author(s)
      John Coates, Takako Fukaya, Kazuya-Kato, Ramdorai Sujatha, Otmar Venjakob
    • Journal Title

      Publ.Math.IHES (発表予定)

    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] The GL_2 main conjecture for elliptic curves without complex multiplication

    • Author(s)
      J.Coates, T.Fukaya, K.Kato, R.Sujatha, O.Venjakob
    • Journal Title

      Publications Mathematiques, IHES (掲載予定)

    • Data Source
      KAKENHI-PROJECT-14340002
  • [Journal Article] Root numbers, Selmer groups, and non-commulative Iwasawa theory

    • Author(s)
      Coaren, J.; Fukaya, T; Kato, K; Sujiatha, R
    • Journal Title

      J. of Algebraic Geometry (掲載確定)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Nakayama, Chikosa Analytic log Prcard varietres

    • Author(s)
      Kajiwara, Takeshi, kato, Kazuya
    • Journal Title

      in Nagoya Math. J (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] Logarithmic Hodge structures and their moduli

    • Author(s)
      Kazuya Kato, Sampei Usui
    • Journal Title

      Ann.Math.Studies(Princeton Univ.Press) (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340009
  • [Journal Article] sufatha, Ramdrai ; Poot numbers, Selmergrowps, and non-commutatine Iwasawa theory

    • Author(s)
      Coates, John, Fukaya, Takako, kato, Kazuya
    • Journal Title

      in J. Algebraic Geometry (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Journal Article] A formulation of conjectures on p-adic zeta functions in non-commutative Iwasawa theory

    • Author(s)
      Takako Fukaya, Kazuya Kato
    • Journal Title

      Proceedings of the St.Petersburg Math.Soc. (発表予定)

    • Data Source
      KAKENHI-PROJECT-16340005
  • [Presentation] p-adic period domains and toroidal partial compactifications2010

    • Author(s)
      Kazuya Kato
    • Organizer
      Arithmetic Geometry, Conference in honour of Jean-Marc Fontaine
    • Place of Presentation
      パリ南大学, フランス
    • Year and Date
      2010-03-24
    • Data Source
      KAKENHI-PROJECT-20340006
  • [Presentation] Classifying spaces of degenerating mixed Hodge structures II : Spaces of SL(2)-orbits (a joint work with C. Nakayama)2009

    • Author(s)
      S.Usui, K.Kato
    • Organizer
      Hodge theory and algebraic geometry : Occasion of the 60th birthday of Sampei Usui
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-07-01
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Presentation] Classifying spaces of degenerating mixed Hodge structures I : Spaces of nilpotent orbits (a joint work with C. Nakayama)2009

    • Author(s)
      S.Usui, K.Kato
    • Organizer
      Hodge theory and algebraic geometry : Occasion of the 60th birthday of Sampei Usui
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-07-01
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Presentation] Classifying spaces of degenerating mixed Hodge structures I : Spaces of nilpotent orbits ; II : Spaces of SL(2)-orbits (a joint work with C. Nakayama)2009

    • Author(s)
      S.Usui, K.Kato
    • Organizer
      Hodge theory and algebraic geometry : Occasion of the 60th birthday of Sampei Usui
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Presentation] Spacer of SL(2)-orbits for C and for 〓p2009

    • Author(s)
      加藤和也
    • Organizer
      国際研究某会Arithmetio and Algebraic geometry related to modali space
    • Place of Presentation
      東京大学
    • Year and Date
      2009-01-21
    • Data Source
      KAKENHI-PROJECT-20340006
  • [Presentation] Classifying spaces of degenerating mixed Hodge structures I : Spaces of nilpotent orbits ; II : Spaces of SL(2)-orbits (a joint work with C. Nakayama) Hodge theory and algebraic geometry2009

    • Author(s)
      S. Usui, K. Kato
    • Organizer
      Occasion of the 60th birthday of Sampei Usui
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-07-01
    • Data Source
      KAKENHI-PROJECT-19340008
  • [Presentation] Clanifying spaces of degenerating mixed Hodge structures2007

    • Author(s)
      加藤 和也
    • Organizer
      Kashiwara Conference
    • Place of Presentation
      京都大学
    • Year and Date
      2007-06-25
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Presentation] Classifying spaces of mixed Hodge structures2007

    • Author(s)
      加藤和也
    • Organizer
      柏原正樹教授還歴記念国際研究集会
    • Place of Presentation
      京都大学芝蘭会館
    • Year and Date
      2007-06-22
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Presentation] Clanifying Apaces of degeneating miced Hodse structwes2007

    • Author(s)
      Kato, kazuya
    • Organizer
      Kashiwana Conference
    • Place of Presentation
      Kyoto(Japan)
    • Year and Date
      2007-06-25
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Presentation] K_1 of some non-commutative Iwasawa algebras2006

    • Author(s)
      加藤和也
    • Organizer
      Iwasawa 2006
    • Place of Presentation
      Limoges(フランス)
    • Year and Date
      2006-07-03
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Presentation] K, of some mon-commutatine Iwasawa algebras2006

    • Author(s)
      Kato, kazuya
    • Organizer
      Iwasawa 2006
    • Place of Presentation
      Lemoges(France)
    • Year and Date
      2006-07-03
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Presentation] SL(2)-orbct theorem for degeneration of mixed Hoclge structwle2006

    • Author(s)
      Kato, kazuya
    • Organizer
      Hodge Theory
    • Place of Presentation
      Venile(Italy)
    • Year and Date
      2006-06-21
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Presentation] Iwasawa theory and generalizations2006

    • Author(s)
      加藤 和也
    • Organizer
      ICM 2006
    • Place of Presentation
      Madrid(スペイン)
    • Year and Date
      2006-08-26
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Presentation] Iwasawa theory and generalisations2006

    • Author(s)
      Kato, kazuya
    • Organizer
      ICM 2006
    • Place of Presentation
      Madrid(Spain)
    • Year and Date
      2006-08-26
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Presentation] SL(2)-orbct theorem for degeneration of mixed Hodge structure2006

    • Author(s)
      加藤和也
    • Organizer
      Hodge Theory
    • Place of Presentation
      Venice(イタリア)
    • Year and Date
      2006-06-21
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Presentation] Moduli spaces of log Hodge structures2005

    • Author(s)
      加藤和也
    • Organizer
      Illusie Conference
    • Place of Presentation
      Orsay(フランス)
    • Year and Date
      2005-06-29
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • [Presentation] Modnli spaces of log Hodge structwes2005

    • Author(s)
      Kato, Kazuya
    • Organizer
      Illwrie Conference
    • Place of Presentation
      Orsay(France)
    • Year and Date
      2005-06-27
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340005
  • 1.  KAWAMATA Yujiro (90126037)
    # of Collaborated Projects: 9 results
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  • 2.  SAITO Takeshi (70201506)
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  • 3.  UENO Kenji (40011655)
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