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FUJITA Takao  藤田 隆夫

ORCIDConnect your ORCID iD *help
… Alternative Names

堀川 頴二  ホリカワ エイジ

堀川 穎二  ホリカワ エイジ

藤田 隆夫  フジタ タカオ

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Researcher Number 40092324
Affiliation (based on the past Project Information) *help 2008 – 2009: 東京工業大学, 大学院・理工学研究科, 教授
2007: 東京工業大学, 大学院・理工研究科, 教授
2006: 東京工業大学, 大学院理工学研究科, 教授
2006: 東京工業大学, 理工学部, 教授
2005: 東京工業大学, 理学部, 教授 … More
1998 – 2005: Guraduate School of Science and Engineering Tokyo Institute of Technology ; Prof, 大学院・理工学研究科, 教授
2004: 東京工業大学, 理工学部・大学院, 教授
1999: Department of Earth and Planetary Science, TOKYO INSTITUTE OF TECHNOLOGY, Professor, 理工学研究科, 教授
1998: 東京工業大学, 大学院・工学研究科, 教授
1998: Guraduate School of Science and Engineering, Tokyo Institute of Technology, Prof, 大学院・理工学研究科数学専攻, 教授
1990 – 1997: 東京工業大学, 理学部, 教授
1992 – 1993: 東京大学, 大学院・数理科学研究科, 教授
1988: 東京大学, 教養学部, 助教授
1986: 東京大学, 教養学部, 助教授 Less
Review Section/Research Field
Principal Investigator
Algebra / 代数学・幾何学
Except Principal Investigator
Algebra / Geometry / 代数学・幾何学 / 解析学 / Geometry / Algebra / 非線形科学
Keywords
Principal Investigator
随伴直線束 / 偏極多様体 / adjoint bundle / polarized varieties / 小平エネルギー / 対数多様体(log variety) / ファノ多様体(Fano variety) / 小平スペクトル(Kodaira spectrum) / 小平エネルギー(Kodaira energy) / 射影多様体 … More / genus / 偏極多様性 / 種数 / 偏曲多様体 / Kodaira energy / 対数偏極多様体 / adjoint fibration / 随伴線形系 / 対数構造 / 断面種数 / 極小モデル理論 / ファイブレイション(fibration) / ザリスキー分解(Zariski decomposition) / 随伴直線束(adjoint burdle) / 偏極多様体(polarized manifold) / 森・川又理論(Mori-Kawamata theory) / ザリスヤ-分解(Zariski decomposition) / 随伴直線束(odjoint bundle) / 対数多様体(log yariety) / 偏極多様体(polarized variety) / 超幾何関数 / 代数曲面 / 豊富ベクトル束 / デルペッツォ多様体 / 代数多様体 … More
Except Principal Investigator
モジュライ空間 / 特異点 / 代数多様体 / 保型形式 / toric variety / singularities / moduli space / arc space / jet scheme / 偏極多様体 / singularity / geometric genus / 多重標準系 / 一般型代数多様体 / 多重種数 / exceptional singularity / index of singularity / Kaehler-Einstein metrics / アインシュタイン計量 / トーリック多様体 / Hodge理論 / 代数幾何学 / Hodge theory / ベクトル束 / 極小モデル / 双有理幾何学 / ケーラー多様体 / 正則写像 / 複素解析 / 極小モデル理論 / ゼータ関数 / 正標数 / differential equations / special functions / Structure of groups / 微分方程式 / 特殊函数 / 群の構造 / plurisubharmonicity / Bergman kernel / analytic Zariski decomposition / singular hermitian metrics / closed positive current / varieties of general type / pluricanonical systems / モジュライ / 剛性定理 / 乗数イデアル層 / ケーラーアインシュタイン計量 / 変形 / タイヒミュラー空間 / ベルグマン核 / 多重標準形 / 特異エルミート計量 / 不変測度 / ケーラー計量 / 標準束 / 多重標準写像 / moduli spase / plurigenera / multipier ideal / complete intersection / integral closed / graded ring / jet scjeme / multiplier ideal sheaves / vareiteis of general type / plurigera / 概代数性 / Flip / 劣随伴定理 / 劣随伴公式 / modular L-function / log-canonical singularity / Zeta function / birational geometry / Zariski decomposition / index / Singularities / 保型L関数 / 対数的標準特異点 / logarithmic Torelli problem / higher Chow groups / Beilinson conjectures / mixed motives / higher Abel-Jaoci map / p-adic Hodge theory / higer class field theory / algebraic cycles / (8)Abelの定理 / (7)周期写像 / (6)K群 / (5)Torelli問題 / (4)特異点 / モチフィック・コホモロジー / Chow群 / 高次Abel-Jacobi写像 / Abelの定理の高次元化 / P-進Hodye理論 / Hodye理論 / モチーフ / 高次チャウ群 / ベイリンソン予想 / 混合モチーフ / 高次アーベル・ヤコビ写像 / ホッヂ理論 / P進ホッヂ理論 / 高次元類体論 / 代数的サイクル / camical ring / LィイD12ィエD1-es**hch / moduli / Toric多様体 / ∂-方程式 / 乗数イデアル / L^2-評値式 / 標準環 / L^2-組織 / Scalar curvature / Stability / サイバーグ・ウィッテン方程式 / スカラー曲率 / 安定性 / ケーラー・アインシュタイン計量 / algebraic surfaces / blow up / 超曲面 / 代数曲面 / Abelian variety / Computational geometry / Commutative algebra / Toric variety / Algebraic variety / Algebraic geometry / グレーブナー基底 / カラビヤウ多様体 / モーデルベイユ格子 / 組合せ論 / アーベル多様体 / 計算幾何 / 可換環 / Mordell-Weil lattice / K3 surface / Calabi-Yau manifold / polarigation / Hamming code / code / algebraic geemetry / 群スキーム / P進一意化 / 共形場理論 / 量子コホモロジー / ミラーシンメトリー / Golay符号 / 形式群 / p-進一意化 / 多項式 / Mordell-Weil格子 / K3曲面 / カラビ・ヤウ多様体 / 偏極 / Hamming符号 / 符号 / Teichmueller space / vector bundle / Calabi-Yau variety / Shafarevich map / Fano variety / flip / Minimal model / 射影空間 / フェルリンデ公式 / 基本群 / タイヒミューラー空間 / カラビ・ヤオ多様体 / ホッジ理論 / シャファレビッチ写像 / ファノ多様体 / フリップ / 変形理論 / 偏極多様体の分類 / 超函数 / Eisenstein級数 / 単頃化問題 / 一般型代数曲面 / 単純群 / Bergman核 / 偶格子 / 重偶コ-ド / 類数 / integnally closedjlul / log-canonical threshold / integrally closed ideal / lc-threshold / ジェット空間 / ジェットスキーム / 弧空間 / 大域解析 / 多変数 / 関数論 / 複素幾何 / タイヒミューラー理論 / 有理点 / ディオファントス幾何 / 双曲的多様体 / 双曲多様体 / 随伴直線束 / 絶対スキーム / 戸田格子 / ロトカボルテラ方程式 / QR分解法 / 非線形シュレディンガー方程式 / q離散 / 可積分系 / パンルベ方程式 / ソリトン / Eisenstein series / 数論的代数幾何 / 分類理論 / 森理論 / 偏極構造 / 明示相互法則 / 岩澤理論 / 標準因子 / ベクトル場 / wild fibre / 楕円曲面 / 楕円曲線 / ユニタリ表現 / 不連続群 / limit set / Complex dinamics / Kleinnian group / Stationary phase method / Ample vector bundles / Newton boundary / nonーdegenerate / Toric blowingーup / Futaki inuarianV / Feynmann intcgral / algobraic surface / moduli cpale / Torolli group / Casson inuarianV / Mapping class group / ビリヤ-ド問題 / キャッソン不変量 / ファインマン経路積分 / ケ-ラ-・アインシュタイン計量 / デルペッツオ多様体 / 正規特異点 / 完全交叉特異点 Less
  • Research Projects

    (34 results)
  • Co-Researchers

    (96 People)
  •  Research on the singularities of a variety

    • Principal Investigator
      ISHII Shihoko
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  Study of moduli spaces of projective varieties of general type

    • Principal Investigator
      TSUJI Hajime
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Sophia University
  •  Research on singularities of a variety

    • Principal Investigator
      ISHII Shihoko
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  The structure of polarized varietiesPrincipal Investigator

    • Principal Investigator
      FUJITA Takao
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  Quasiprojectivity of moduli spaces of algebraic varieties

    • Principal Investigator
      TSUJI Hajime
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  Algebraic Cycles on Algebraic Varieties

    • Principal Investigator
      SAITO Shuji
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
      Tokyo Institute of Technology
  •  STUDY ON SINGULARITIES OF VARIETIES

    • Principal Investigator
      KUROKAWA Nobushige, 石井 志保子
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      TOKYO INSTITUTE OF TECHNOLOGY
  •  Analytic Study of Moduli Spaces

    • Principal Investigator
      TSUJI Hajime
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  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
  •  Classification and structure of polarized varietiesPrincipal Investigator

    • Principal Investigator
      FUJITA Takao
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  Singularities on complex varieties

    • Principal Investigator
      ISHII Shihoko
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      TOKYO INSTITUTE OF TECHNOLOGY
  •  Uniformization for smooth manifolds

    • Principal Investigator
      FUKAKI Akito
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  大域的複素解析の研究

    • Principal Investigator
      野口 潤次郎
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo Institute of Technology
  •  数論的代数幾何学の研究

    • Principal Investigator
      福田 拓生
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  偏極多様体の構造Principal Investigator

    • Principal Investigator
      藤田 隆夫
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  大域的複素構造の研究

    • Principal Investigator
      野口 潤次郎
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo Institute of Technology
  •  Orenall Study on Algebraic Varieties and its Applications

    • Principal Investigator
      KATSURA Toshiyuki
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      University of Tokyo
  •  偏極多様体の小平エネルギーの研究Principal Investigator

    • Principal Investigator
      藤田 隆夫
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Tokyo Institute of Technology
  •  偏極多様体の構造および分類Principal Investigator

    • Principal Investigator
      藤田 隆夫
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  解析的集合及び解析的写像の総合的研究

    • Principal Investigator
      岡 睦雄
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  代数曲線のモジュライ空間と共形場理論

    • 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
  •  代数幾何学とその境界領域への応用Principal Investigator

    • Principal Investigator
      堀川 穎二
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  数論的代数幾何学の研究

    • 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
  •  複素多様体の解析的研究

    • Principal Investigator
      辻 元
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  離散型ソリトン方程式の解析

    • Principal Investigator
      薩摩 順吉
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      非線形科学
    • Research Institution
      The University of Tokyo
  •  保型関数

    • Principal Investigator
      SHIMIZU Hideo
    • 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
  •  Higher Dimensional Algebraic Varieties

    • Principal Investigator
      MORI Shigefumi
    • Project Period (FY)
      1992 – 1993
    • Research Category
      Grant-in-Aid for international Scientific Research
    • Research Institution
      Kyoto University
  •  解析的集合の特異点の幾何構造の研究

    • Principal Investigator
      岡 睦雄
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo Institute of Technology
  •  射影多様体の代数幾何的複素解析的および位相幾何的諸性質に基づく分類Principal Investigator

    • Principal Investigator
      藤田 隆夫
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo Institute of Technology
  •  特異点の研究

    • Principal Investigator
      福田 拓生
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo Institute of Technology
  •  低次元多様体上の諸構造の研究

    • Principal Investigator
      森田 茂之
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo Institute of Technology
  •  数論とその応用の綜合的研究

    • Principal Investigator
      藤崎 源二郎
    • Project Period (FY)
      1988 – 1989
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  射影多様体の代数幾何的・複素解析的及び位相幾何的諸性質Principal Investigator

    • Principal Investigator
      藤田 隆夫
    • 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
  •  Researches of group theory and its applications

    • Principal Investigator
      SUGIURA Mitsuo
    • Project Period (FY)
      1986 – 1987
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  • 1.  ISHII Shihoko (60202933)
    # of Collaborated Projects: 17 results
    # of Collaborated Products: 0 results
  • 2.  TSUJI Hajime (30172000)
    # of Collaborated Projects: 16 results
    # of Collaborated Products: 0 results
  • 3.  岡 睦雄 (40011697)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 4.  野口 潤次郎 (20033920)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 5.  KUROKAWA Nobusige (70114866)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  FUKAKI Akito (90143247)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 7.  KOBAYASHI Masanori (60234845)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 8.  森田 茂之 (70011674)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 9.  丹野 修吉 (10004293)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 10.  福田 拓生 (00009599)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 11.  SAITO Shuji (50153804)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 12.  SHIMIZU Hideo (00012336)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 13.  KATSURA Toshiyuki (40108444)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 14.  OKAMOTO Kazuo (40011720)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 15.  SHIGA Hiroshige (10154189)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 16.  MUKAI Shigeru (80115641)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 17.  藤原 大輔 (10011561)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 18.  MIZUMOTO Shin-ichiro (90166033)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 19.  MORI Shigefumi (00093328)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 20.  NAKAYAMA Chikara (70272664)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 21.  木村 弘信 (40161575)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 22.  WATANABE Keiichi (10087083)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 23.  SAITO Masahiko (80183044)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 24.  MIYAOKA Reiko (70108182)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 25.  TOMARI Masataka (60183878)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 26.  TOMARU Tadashi (70132579)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 27.  堀川 穎二 (40011754)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 28.  GOMI Kensaku (20012502)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 29.  KONDO Takeshi (20012338)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 30.  KOBAYASHI Ryoichi (20162034)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 31.  SUGIURA Mitsuo (50012258)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 32.  MARUYAMA Masaki (50025459)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 33.  UENO Kenji (40011655)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 34.  MIYAOKA Yoichi (50101077)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 35.  ISHIDA Masanori (30124548)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 36.  HATTORI Toshiaki (30251599)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
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