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ISHIDA Masanori  石田 正典

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… Alternative Names

石田 正典  イシダ マサノリ

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Researcher Number 30124548
Other IDs
External Links
Affiliation (Current) 2022: 東北大学, 高度教養教育・学生支援機構, 特定教授
2022: 東北大学, 理学研究科, 名誉教授
Affiliation (based on the past Project Information) *help 2019 – 2021: 東北大学, 理学研究科, 名誉教授
2016 – 2017: 東北大学, 理学研究科, 教授
2012 – 2015: 東北大学, 理学(系)研究科(研究院), 教授
2013: 東北大学, 大学院・理学研究科, 教授
2011: 東北大学, 理学研究科, 教授 … More
2007 – 2011: Tohoku University, 大学院・理学研究科, 教授
2006: Tohoku University, Graduate School of Science, Professor, 大学院理学研究科, 教授
1995 – 2005: 東北大学, 大学院・理学研究科, 教授
1997: 東北大学, 大学院・理学研究科・数学, 教授
1997: 東北大学, 大学院・理学研究科所, 教授
1986 – 1994: 東北大学, 理学部, 助教授 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra / 代数学・幾何学 / Basic Section 11010:Algebra-related
Except Principal Investigator
Algebra / 代数学・幾何学 / Algebra / Geometry
Keywords
Principal Investigator
トーリック多様体 / 代数多様体 / 特異点 / 代数幾何学 / 多様体 / 扇 / 凸多面体 / カスプ特異点 / 可換環 / 代数幾何 … More / 楕円曲面 / 楕円曲線 / 鏡映群 / アーベル多様体 / コクセター群 / 代数曲面 / 対称空間 / ホッジ理論 / 既約性定理 / 一般型曲面 / 保型形式 / 曲面 / 共形 / 超幾何系 / 対数スキーム / 実扇 / 凸錐 / ザリスキ・リーマン空間 / 不分岐被覆 / 循環商特異点 / モチーフ / 代数群 / トーリック / モティーフ / 代数多様本 / グレブナー基底 / 計算幾何 / モジュライ空間 / 組合せ論 / モーデルベイユ格子 / カラビヤウ多様体 / グレーブナー基底 / アインシュタイン計量 / Algebraic geometry / Algebraic variety / Toric variety / Commutative algebra / Computational geometry / Abelian variety / ブローアップ / リース環 / 強レフシェッツ定理 / K3曲面 / 双対化定理 / 交叉コホモロジー群 / 端末特異点 / algebraic variety / toric variety / abelian variety / elliptic curve / blowup / Rees alebra / fan / 形式スキーム / 無限コクセター群 / スキーム理論 / 形式扇 / 直角鏡映群 / 無限扇 … More
Except Principal Investigator
トーリック多様体 / 代数多様体 / 有理点 / アーベル多様体 / 代数曲面 / 表現論 / 代数幾何 / 代数幾何学 / K3曲面 / 調和写像 / 代数的サイクル / 量子群 / 不定方程式 / 整数論 / toric variety / 対称領域 / アインシュタイン・ケーラー計量 / 数論的幾何学 / モジュライ空間 / コホモロジー / モティーフ / F-特異点 / ベクトル束 / モジュライ / 代数学 / ゼータ関数 / 安定性 / 指標D加群 / ト-リック多様体 / 代数群 / 指標 / 対称空間 / ホロノミー系 / 超幾何型微分方程式 / 同変ホロノミー系 / 大域的変分問題 / アインシュタイ・エルミート計量 / 数論 / 高さ / Chow群 / モティーフ理論 / 特異点 / 正標数 / フロベニウス写像 / F-純閾値 / チャウ群 / ファノ多様体 / 三角圏 / 幾何学 / ミンコフスキー和 / スプリンガー表現 / D加群 / 基本群 / スペクトル幾何 / アインシュタイン計量 / 反応拡散方程式系 / 二木指標 / 複素クライン群 / マッカイ対応 / McKay correspondence / toric varieties / 密度定理 / 楕円曲線 / 概均質ベクトル空間 / tight closure / 密着閉包 / トロピカル幾何 / algebraic geometry / 青木・Galfand方程式 / カスプ特異点 / 局所化定理 / 指標公式 / 可解格子模型 / ホロノミ-系 / 捩れ同変 / フ-リエ変換 / 超幾何型微分方程式系 / 青本・Gelfand方程式系 / 確定特異点型 / 超楕円曲面 / 超幾何微分方程式 / YangーBaxter方程式 / Einstein計量 / 交叉ホモロジー / カノニカル基底 / Yang-Baxter方程式 / 共形場 / 線織面 / 確定特異点 / 代数群の表現 / トーラス作用 / 同変K理論 / 箙多様体 / モディライ空間 / ALE空間 / 反自己双対接続 / シュレディンガー作用素 / Eimitein / metric / Kihler / Hermition / stable / p進解析 / ゲージ理論 / 微分幾何学 / 大域解析 / 複素多様体 / アインシュタイ・ケーラー計量 / 久賀-佐武のアーベル多様体 / K3局面 / 代数局面 / フィンスラー多様体 / ハーツホーン予想 / フィンスラー計量 / 代数菌サイクル / 可換環論 / F-跳躍数 / F-正則性 / フロベニウス射 / Q-Gorenstein性 / F-爆発 / Hilbert-Kunz重複度 / 擬斉次 / 半安定性 / 組の特異点 / 対数的標準閾特異点 / F-純特異点の最小中心 / 随伴束 / F-分裂次元 / カラビ・ヤウ多様体 / 国際研究者交流(オランダ) / クンマー曲面 / 起特異 / configuration / アルチン不変量 / ケンマー曲面 / 準楕円曲面 / サイクル / 変形 / 凸体 / 代数サイクル / 群指標 / 半単純代数群 / 原始イデアル / ホツジ加群 / ヘツケ環 / 旗多様体 / 数論的多様体 / 光点特異点 / 錐体 / 保型関数 / 保型形式 / トーラス埋め込み / 極小モデル / フリップ / シャファレビッチ写像 / ホッジ理論 / カラビ・ヤオ多様体 / タイヒミューラー空間 / 極小モデル理論 / フェルリンデ公式 / 射影空間 / Minimal model / flip / Fano variety / Shafarevich map / Hodge theory / Calabi-Yau variety / vector bundle / Teichmueller space / p進解析多様体 / 電磁場 / アインシュタイン・エルミート計量 / モーデル・ヴェイユ群 / 一般ヤコビ多様体 / ヤン・バックスター方程式 / rational point / p-adic analytic space / equivariant holonomic system / quantum group / harmonic map / electro-magnetic field / Einstein-Hermitian metric / 交差コホモロジー / ラプラシアン / 離散スペクトル / 反応拡散方程式 / ケーラー多様体 / 共形平坦多様体 / 拡散反応方程式 / シュレーディンガー作用素 / リーマン多様体 / 複素数多様体 / 微分作用素 / 非線型微分方程式 / トーリック幾何 / アーベル曲面 / スペクトル / 非アルキメデス的多様体 / 代数的対称空間 / テイト予想 / エルゴード性 / p進多様体 / intersection cohomology / fundamental group / Laplacian / discrete spectrum / reaction-diffusion equation / Kaehler manifold / conformally flat manifold / 非線形問題 / 複素双曲型多様体 / 強擬凸CR多様体 / 擬射影平面 / 形態形式モデル / 自己双対計量 / Geometry of manifolds / Nonlinear problem / Geometric variational problem / Harmonic map / Moduli space / Einstein-Kaehler metric / Strongly pseudo-convex CR manifold / 単純特異点 / Mackey反応 / McKay対応 / 商特異点 / ヒルベルト スキーム / スタビリィティ(安定性) / ヒルベルトスキーム / マッケイ対応 / ツイスター空間 / ハイパーケーラー多様体 / モノドロミ- / 横断性定理 / Representation / Singularity / Simple singularity / Abelian variety / moduli / Stability / アインシュタイン / カルノー群 / グラフのラプラス作用素 / グリーン関数 / カルノ-群 / Einstein / harmonic maps / Carnot groups / Laplace operators on graphs / reaction-diffusion system / complex Kleinian groups / Futaki character / 整数点 / ALGEBRAIC VARIETY / RATIONAL POINTS / HEIGHT / K3 SURFACE / DIOPHANTINE EQUATION / ALGEBRAIC SURFACES / BELIAN VARIETY / 環論 / 群論 / 解析数論 / Number Theory / Algebraic Geometry / Ring Theory / Group Theory / Representation Theory / 類数 / Q-曲線 / 密着閉方 / 可積分系 / 既均質ベクトル空間 / キーワード6 / キーワード7 / キーワード8 / class number / density theorems / Q-curves / F-singularities / elliptic curves / Mordell-Weil group / モチーフ / 対数アーベル多様体 / test ideal / 対数的代数幾何 / Prehomogeneous vector spaces / Toric Variety / Algebraic cycles / Motif / Frobenius / 分解定理 / motif / algebraic cycles / cohomology / コンパクト化 / リジッド幾何学 / p進幾何学 / Mumford射影平面 / L関数 / flux予想 / モジュライのコンパクト化 / 複素超球の算術商 / テータ関数 / 群軌道のヒルベルト・スキーム / 3次曲面,複素超球 / 2次超曲面 / Moduli / Compactification / Rigid geometry / p-adic geometry / Mumford fake projective plane / K3 Surfaces / L-function / 凸多面体 / 孤立特異点 / convex polytope / 乗数イデアル / 重複度 / 対数的標準閾値 / CCI曲面 / トロピカル・トーリック多様体 / Buchsbaum斉次代数 / 判定イデアル / P-フラクタル / F-singularity / F-pure threshold / tropical geometry / multiplier ideal / multiplicity / 代数的特異点 / 複素解析的特異点 / アフィン・リー環 / 共形場の理論 / ゼータ函数 / L函数 / ケーラー計量 / アヤィン・リー環 / トーリック因子 / 非ケーラー多様体 / 共形的場の理論 / アフィンワイル群 / ヘッケ環 / Algebraic singularity / Complex analytic singularity / Toric variety / Zeta function / Affine Lie algebra / Conformal field theory / 簡約代数群 / 規約指標 / ホロノミーD群 / セル表現 / モノドロミー / 巾単表現 / 不連続群 / D-加群 / 被覆 Less
  • Research Projects

    (52 results)
  • Research Products

    (40 results)
  • Co-Researchers

    (100 People)
  •  トーリック多様体とカスプ特異点の研究Principal Investigator

    • Principal Investigator
      石田 正典
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Tohoku University
  •  Studies on cusp singularities by the theory of formal fansPrincipal Investigator

    • Principal Investigator
      Masanori Ishida
    • Project Period (FY)
      2015 – 2017
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Study of cusp singularities by the theory of Groebner basisPrincipal Investigator

    • Principal Investigator
      ISHIDA Masanori
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Study on Minkowski sums of lattice polytoped and toric varieties

    • Principal Investigator
      OGATA Shoetsu
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Mixed motivic sheaves, category theory, and study of cycle complexes

    • Principal Investigator
      HANAMURA Masaki
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Study on algebraic varieties related to moduli spaces and algebraic cycles

    • 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
  •  Extensions and applications of the theory of toric varietiesPrincipal Investigator

    • Principal Investigator
      ISHIDA Masanori
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Study on equivariant mapps of toric varieties and vector bundles

    • Principal Investigator
      OGATA Shoetsu
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Study of the theory of mixed motivic sheaves

    • Principal Investigator
      HANAMURA Masaki
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Algebro-Geometric Approach to Invariants in Commutative Algebra

    • Principal Investigator
      HARA Nobuo
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  関数の実数ベキを許容する代数幾何学の研究Principal Investigator

    • Principal Investigator
      石田 正典
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  The global geometry of moduli spaoes

    • Principal Investigator
      NAKAMURA Iku
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  Study on integral convex polytopes and toric varieties

    • Principal Investigator
      OGATA Shoetsu
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Applications of tight closure and F-singularity to algebraic geometry

    • Principal Investigator
      HARA Nobuo
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Number Theory and Geometry related to Algebraic Groups

    • Principal Investigator
      YUKIE Akihiko
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Applications of the theory of mixed motifs

    • Principal Investigator
      HANAMURA Masaki
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  フィンスラー多様体への調和写像とハーツホーン予想の証明

    • Principal Investigator
      西川 青季
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Study of relations and applications of Arithmetic Geometry to branches of Algebra

    • Principal Investigator
      MORITA Yasuo
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Number Theory and Geometry related to Algebraic Groups

    • Principal Investigator
      YUKIE Akihiko
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Research on duality theorems of modules on fansPrincipal Investigator

    • Principal Investigator
      ISHIDA Masanori
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  K3局面の数論

    • Principal Investigator
      森田 康夫
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  STUDY OF THE HEIGHTS AND THE DISTRIBUTION OF RATIONAL POINTS ON ALGEBRAIC VARIETIES

    • Principal Investigator
      MORITA Yasuo
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      TOHOKU UNIVERSITY
  •  Synthetic research of algebraic geometry with an expectation of wide applicationsPrincipal Investigator

    • 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
  •  Complex Manifolds and Gauge Theory

    • Principal Investigator
      BANDO Shigetoshi
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      TOHOKU UNIVERSITY
  •  代数多様体の数論の研究

    • Principal Investigator
      森田 康夫
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  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
  •  代数多様体の整数論的研究

    • Principal Investigator
      森田 康夫
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  トーリック特異点をもつ代数多様体Principal Investigator

    • Principal Investigator
      石田 正典
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  ゲージ理論の幾何学的研究

    • Principal Investigator
      板東 重稔
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Mathematical problems on manifolds

    • Principal Investigator
      ODA Tadao
    • Project Period (FY)
      1995 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Study of Nonlinear problems in Geometry

    • Principal Investigator
      NISHIKAWA Seiki
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  超幾何型関数と表現論

    • Principal Investigator
      堀田 良之
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  幾何構造のモジュライと変形の研究

    • Principal Investigator
      西川 青季
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  特異幾何構造とその応用

    • Principal Investigator
      板東 重稔
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  トーリック多様体と代数的サイクルPrincipal Investigator

    • Principal Investigator
      石田 正典
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Tohoku University
  •  代数曲面の整数論

    • Principal Investigator
      森田 康夫
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  トーリック多様体と交点理論Principal Investigator

    • Principal Investigator
      石田 正典
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Problems on varieties

    • Principal Investigator
      ODA Tadao
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  代数的手法による表現論

    • Principal Investigator
      堀田 良之
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  代数曲面上の有理点の研究

    • Principal Investigator
      森田 康夫
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  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
  •  代数多様体と群作用Principal Investigator

    • Principal Investigator
      石田 正典
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  代数的表現論の開発

    • Principal Investigator
      堀田 良之
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  代数多様体上の有理点の研究

    • Principal Investigator
      森田 康夫
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  D加群と表現論

    • Principal Investigator
      HOTTA Ryoshi
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  代数多様体と解析的構造Principal Investigator

    • Principal Investigator
      石田 正典
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  数論的光点特異点の研究

    • Principal Investigator
      佐武 一郎
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  保型関数論の代数学への応用

    • Principal Investigator
      森田 康夫
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  Problems on Manifolds

    • Principal Investigator
      ODA Tadao Professor
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      TOHOKU UNIVERSITY
  •  表現論の代数解析的研究

    • Principal Investigator
      堀田 良之
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Institution
      Tohoku University
  •  整数論における代数幾何学的手法の研究

    • Principal Investigator
      森田 康夫
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  群表現と多様体

    • Principal Investigator
      堀田 良之
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University

All 2017 2016 2015 2014 2013 2012 2010 2009 2008 2006 Other

All Journal Article Presentation

  • [Journal Article] Cusp singularities and quasi-polyhedral sets2017

    • Author(s)
      Masanori Ishida
    • Journal Title

      Adv. Studies in Pure Math.

      Volume: 75 Pages: 163-182

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K13423
  • [Journal Article] The moduli space of Catanese-Ciliberto-Ishida surface2013

    • Author(s)
      Masanori Ishida
    • Journal Title

      Osaka J. Math.

      Volume: 50 Pages: 115-133

    • NAID

      120005986476

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24654003
  • [Journal Article] Completion of real fans and Zariski-Riemann spaces2006

    • Author(s)
      G.Ewald, M.Ishida
    • Journal Title

      Tohoku Mathematical Journal 58

      Pages: 189-218

    • NAID

      110004669750

    • Data Source
      KAKENHI-PROJECT-18540007
  • [Journal Article] Completion of real fans and Zariski-Riemann spaces2006

    • Author(s)
      石田正典
    • Journal Title

      Tohoku Mathematical Journal (未定)

    • NAID

      110004669750

    • Data Source
      KAKENHI-PROJECT-16540004
  • [Journal Article] Completion of real fans and Zariski-Riemann spaces2006

    • Author(s)
      M.Ishida, G.Ewald
    • Journal Title

      Tohoku Math.J. 58-2(to appear)

    • NAID

      110004669750

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] Completion of real fans and Zariski-Riemann spaces.2006

    • Author(s)
      G.Ewald, M.Ishida
    • Journal Title

      Tohoku Math.J. 58-2(To appear)

    • NAID

      110004669750

    • Data Source
      KAKENHI-PROJECT-15340001
  • [Journal Article] Completion of real fans and Zariski-Riemann spaces2006

    • Author(s)
      G.Ewald, M.Ishida
    • Journal Title

      Tohoku Math.J. 58-2(発表予定)(未定)

    • NAID

      110004669750

    • Data Source
      KAKENHI-PROJECT-17654002
  • [Journal Article] Completion of real fans and Zariski-Riemann spaces2006

    • Author(s)
      M.Ishida
    • Journal Title

      Tohoku Math. J. 58

      Pages: 189-218

    • NAID

      110004669750

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540004
  • [Journal Article] Completion of real fans and Zariski-Riemann spaces2006

    • Author(s)
      石田 正典
    • Journal Title

      Tohoku Mathematical Journal 58

      Pages: 189-218

    • NAID

      110004669750

    • Data Source
      KAKENHI-PROJECT-16540004
  • [Journal Article] Completion of real fans and Zariski-Riemann spaces2006

    • Author(s)
      M.Ishida, G.Ewald
    • Journal Title

      Tohoku Math J 58-2(掲載予定)

    • NAID

      110004669750

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] Completion of real fans and Zariski-Riemann spaces2006

    • Author(s)
      M-N.Ishida, G.Ewald
    • Journal Title

      Tohoku Mathematical Journal 58-2(掲載予定)

    • NAID

      110004669750

    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] Completion of real fans and Zariski-Riemann spaces2006

    • Author(s)
      G.Ewald, Masa-Nori Ishida
    • Journal Title

      Tohoku Math. J. 58

      Pages: 189-218

    • NAID

      110004669750

    • Data Source
      KAKENHI-PROJECT-17654002
  • [Journal Article] Completion of real funs and Zariski-Riemann spaces2006

    • Author(s)
      石田 正典
    • Journal Title

      Tohoku Mathematical Journal 58

      Pages: 189-218

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540004
  • [Journal Article] Completion of real fans and Zariski-Riemann spaces

    • Author(s)
      M.Ishida
    • Journal Title

      Tohoku Math.J. (to appear)

    • NAID

      110004669750

    • Data Source
      KAKENHI-PROJECT-16204001
  • [Journal Article] Completion of real fans and Zariski-Riemann spaces

    • Author(s)
      G.Ewald, M.Ishida
    • Journal Title

      Tohoku Mathematical Journal (掲載予定)

    • NAID

      110004669750

    • Data Source
      KAKENHI-PROJECT-16540005
  • [Presentation] 非有界凸多面体とトーリック型カスプ特異点2017

    • Author(s)
      石田 正典
    • Organizer
      代数学シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K13423
  • [Presentation] トーリック型カスプ特異点について2016

    • Author(s)
      石田 正典
    • Organizer
      代数幾何セミナー
    • Place of Presentation
      東北大学大学院理学研究科
    • Data Source
      KAKENHI-PROJECT-15K13423
  • [Presentation] 固定形式扇とトーリック型カスプ特異点2015

    • Author(s)
      石田 正典
    • Organizer
      杜の都代数幾何研究集会@福岡
    • Place of Presentation
      福岡大学セミナーハウス
    • Year and Date
      2015-11-25
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K13423
  • [Presentation] カスプ特異点を記述する形式扇の導入2014

    • Author(s)
      石田正典
    • Organizer
      杜の都代数幾何学研究集会
    • Place of Presentation
      東北大
    • Year and Date
      2014-01-10
    • Data Source
      KAKENHI-PROJECT-23540038
  • [Presentation] カスプ特異点を記述する形式扇の導入2014

    • Author(s)
      石田正典
    • Organizer
      第 2 回杜の都代数幾何学研究集会
    • Place of Presentation
      東北大学大学院理学研究科
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654003
  • [Presentation] Cusp singularities and discrete groups generated by reflections2014

    • Author(s)
      石田 正典
    • Organizer
      RIMS 研究集会 Kyoto Workshop``Algebraic Varieties and Automorphism Group''
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2014-07-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654003
  • [Presentation] カスプ特異点とグレブナー基底2013

    • Author(s)
      石田正典
    • Organizer
      第11回アフィン代数幾何学研究集会
    • Place of Presentation
      関西学院大
    • Year and Date
      2013-03-04
    • Data Source
      KAKENHI-PROJECT-23540038
  • [Presentation] カスプ特異点を定義する扇について2013

    • Author(s)
      石田正典
    • Organizer
      杜の都代数幾何学研究集会
    • Place of Presentation
      東北大
    • Year and Date
      2013-02-14
    • Data Source
      KAKENHI-PROJECT-23540038
  • [Presentation] 可換環としてのトーリック型カスプ特異点2012

    • Author(s)
      石田正典
    • Organizer
      代数幾何学城崎シンポジウム
    • Place of Presentation
      城崎大会議館( 兵庫県豊岡市城崎町)
    • Year and Date
      2012-10-24
    • Data Source
      KAKENHI-PROJECT-23540038
  • [Presentation] Groebnar basis for cusp singularities of toric type2012

    • Author(s)
      石田正典
    • Organizer
      Arithmetic and Algebraic Geometry 2012
    • Place of Presentation
      東京大
    • Year and Date
      2012-02-15
    • Data Source
      KAKENHI-PROJECT-23540038
  • [Presentation] Counting lattice points by the Riemann-Roch theorem2010

    • Author(s)
      石田正典
    • Organizer
      復旦大学数学コロキウム
    • Place of Presentation
      復旦大学数学科学学院中国
    • Year and Date
      2010-11-24
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] On affine semi-normal toric varieties2010

    • Author(s)
      石田正典
    • Organizer
      Fudan-Tohoku Joint Workshop on Algebraic Geometry
    • Place of Presentation
      Fudan University, 中国
    • Year and Date
      2010-05-31
    • Data Source
      KAKENHI-PROJECT-19340001
  • [Presentation] On affine semi-normal toric varieties2010

    • Author(s)
      石田正典
    • Organizer
      Fudan-Tohoku Joint Workshop on Algebraic Geometry
    • Place of Presentation
      復旦大学数学科学学院,中國
    • Year and Date
      2010-05-31
    • Data Source
      KAKENHI-PROJECT-19340001
  • [Presentation] Complexes on not necessarily normal toric varieties2009

    • Author(s)
      石田正典
    • Organizer
      東北復旦代数幾何合同シンポジウム
    • Place of Presentation
      東北大学大学院理学研究科
    • Year and Date
      2009-11-26
    • Data Source
      KAKENHI-PROJECT-19340001
  • [Presentation] Complexes on not necessarily normal toric varieties2009

    • Author(s)
      石田正典
    • Organizer
      東北復旦代数幾何合同シンポジウム
    • Place of Presentation
      東北大学
    • Year and Date
      2009-11-26
    • Data Source
      KAKENHI-PROJECT-19340001
  • [Presentation] Complexes on not necessarilynormal toric varieties2009

    • Author(s)
      M.Ishida
    • Organizer
      東北復旧代数幾何合同シンポジウム
    • Place of Presentation
      東北大学大学院理学研究科数理科学記念館
    • Year and Date
      2009-11-26
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] トーリック多様体のコホモロジー群2008

    • Author(s)
      石田 正典
    • Organizer
      Castelnuovo-Mumford量についての研究会
    • Place of Presentation
      佐賀大学理工学部
    • Year and Date
      2008-02-22
    • Data Source
      KAKENHI-PROJECT-17654002
  • [Presentation] Cohomology groups of toric varieties2008

    • Author(s)
      石田正典
    • Organizer
      特異点と多様体の幾何
    • Place of Presentation
      草津セミナーハウス
    • Year and Date
      2008-09-12
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] トーリック多様体と半群環のコホモロジー群2008

    • Author(s)
      石田正典
    • Organizer
      京都大学数学教室談話会
    • Place of Presentation
      京都大学
    • Year and Date
      2008-12-10
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] Cohomology groups of semigroup rings and toric varieties2008

    • Author(s)
      石田正典
    • Organizer
      第30回可換環論シンポジウム
    • Place of Presentation
      佐賀県唐津, 虹の松原ホテル
    • Year and Date
      2008-11-19
    • Data Source
      KAKENHI-PROJECT-19340001
  • [Presentation] Cohomology groups of semigroup rings and toric varieties2008

    • Author(s)
      石田正典
    • Organizer
      第30回可換環シンポジウム
    • Place of Presentation
      佐賀、国民宿舎虹の松原ホテル
    • Year and Date
      2008-11-19
    • Data Source
      KAKENHI-PROJECT-19104001
  • [Presentation] カスプ特異点とグレブナー基底

    • Author(s)
      石田 正典
    • Organizer
      第 11 回アフィン代数幾何学研究集会
    • Place of Presentation
      関西学院大学大阪梅田キャンパス
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654003
  • [Presentation] Groebner basis for cusp singularities of toric type

    • Author(s)
      石田 正典
    • 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] 可換環としてのトーリック型カスプ特異点

    • Author(s)
      石田 正典
    • Organizer
      代数幾何学城崎シンポジウム
    • Place of Presentation
      兵庫県城崎大会議館
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654003
  • [Presentation] カスプ特異点を定義する扇について

    • Author(s)
      石田 正典
    • Organizer
      杜の都代数幾何学研究集会
    • Place of Presentation
      東北大学大学院理学研究科
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654003
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    # of Collaborated Projects: 25 results
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  • 2.  MORITA Yasuo (20011653)
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  • 3.  HOTTA Ryoshi (70028190)
    # of Collaborated Projects: 21 results
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  • 4.  BANDO Shigetoshi (40165064)
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  • 5.  NISHIKAWA Seiki (60004488)
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  • 6.  OGATA Shoetsu (90177113)
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  • 7.  HARA Nobuo (90298167)
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  • 9.  KAJIWARA Takeshi (00250663)
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  • 12.  TAKAGI Izumi (40154744)
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  • 13.  NAKAMURA Tetsuo (90016147)
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  • 14.  HANAMURA Masaki (60189587)
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    # of Collaborated Projects: 3 results
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    # of Collaborated Projects: 3 results
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    # of Collaborated Projects: 3 results
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    # of Collaborated Projects: 2 results
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    # of Collaborated Projects: 2 results
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    # of Collaborated Projects: 2 results
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    # of Collaborated Projects: 2 results
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    # of Collaborated Projects: 2 results
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    # of Collaborated Projects: 1 results
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    # of Collaborated Projects: 1 results
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  • 55.  SAITO Morihiko (10186968)
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  • 57.  KOBAYASHI Masanori (60234845)
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  • 70.  IZEKI Hiroyasu (90244409)
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  • 85.  泉屋 周一 (80127422)
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  • 86.  藤木 明 (80027383)
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  • 87.  島田 伊知朗 (10235616)
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  • 88.  日比 孝之 (80181113)
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  • 89.  隅廣 秀康 (60068129)
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  • 90.  塩田 徹治 (00011627)
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  • 91.  伊吹山 知義 (60011722)
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  • 92.  坂内 英一 (10011652)
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  • 94.  難波 誠 (60004462)
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  • 95.  CLEMENS Herb
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  • 100.  MORITA Yasuo Professor
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