ISHIDA Masanori 石田正典

… 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)	2025: 東北大学, 理学研究科, 名誉教授
Affiliation (based on the past Project Information) *help	2022 – 2023: 東北大学, 高度教養教育・学生支援機構, 特定教授 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 … More 2011: 東北大学, 理学研究科, 教授 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 / Algebra / 代数学・幾何学 / 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 / 可換環 / カスプ特異点 / 凸多面体 / 扇 / 多様体 / コクセター群 … More / アーベル多様体 / 鏡映群 / 楕円曲線 / 楕円曲面 / 代数幾何 / 無限扇 / 直角鏡映群 / 形式扇 / スキーム理論 / 無限コクセター群 / 形式スキーム / fan / Rees alebra / blowup / elliptic curve / abelian variety / toric variety / algebraic variety / 端末特異点 / 交叉コホモロジー群 / 双対化定理 / K3曲面 / 強レフシェッツ定理 / リース環 / ブローアップ / Abelian variety / Computational geometry / Commutative algebra / Toric variety / Algebraic variety / Algebraic geometry / アインシュタイン計量 / グレーブナー基底 / カラビヤウ多様体 / モーデルベイユ格子 / 組合せ論 / モジュライ空間 / 計算幾何 / グレブナー基底 / 代数多様本 / モティーフ / トーリック / 代数群 / モチーフ / 循環商特異点 / 不分岐被覆 / ザリスキ・リーマン空間 / 凸錐 / 実扇 / 対数スキーム / 超幾何系 / 共形 / 曲面 / 保型形式 / 一般型曲面 / 既約性定理 / ホッジ理論 / 対称空間 / 代数曲面 … 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 / 代数幾何学 / 代数幾何 / 表現論 / 代数曲面 / 代数的サイクル / 調和写像 / K3曲面 / toric variety / 整数論 / 不定方程式 / 量子群 / 安定性 / ゼータ関数 / 代数学 / モジュライ / ベクトル束 / F-特異点 / モティーフ / コホモロジー / モジュライ空間 / 数論的幾何学 / アインシュタイン・ケーラー計量 / 対称領域 / algebraic geometry / トロピカル幾何 / 密着閉包 / tight closure / 概均質ベクトル空間 / 楕円曲線 / 密度定理 / toric varieties / McKay correspondence / マッカイ対応 / 複素クライン群 / 二木指標 / 反応拡散方程式系 / アインシュタイン計量 / スペクトル幾何 / 基本群 / D加群 / スプリンガー表現 / ミンコフスキー和 / 幾何学 / 三角圏 / ファノ多様体 / チャウ群 / F-純閾値 / フロベニウス写像 / 正標数 / 特異点 / モティーフ理論 / Chow群 / 高さ / 数論 / アインシュタイ・エルミート計量 / 大域的変分問題 / 同変ホロノミー系 / 超幾何型微分方程式 / ホロノミー系 / 対称空間 / 指標 / 代数群 / ト-リック多様体 / 指標D加群 / 被覆 / D-加群 / 不連続群 / 巾単表現 / モノドロミー / セル表現 / ホロノミーD群 / 規約指標 / 簡約代数群 / Conformal field theory / Affine Lie algebra / Zeta function / Toric variety / Complex analytic singularity / Algebraic singularity / ヘッケ環 / アフィンワイル群 / 共形的場の理論 / 非ケーラー多様体 / トーリック因子 / アヤィン・リー環 / ケーラー計量 / L函数 / ゼータ函数 / 共形場の理論 / アフィン・リー環 / 複素解析的特異点 / 代数的特異点 / multiplicity / multiplier ideal / tropical geometry / F-pure threshold / F-singularity / P-フラクタル / 判定イデアル / Buchsbaum斉次代数 / トロピカル・トーリック多様体 / CCI曲面 / 対数的標準閾値 / 重複度 / 乗数イデアル / convex polytope / 孤立特異点 / 凸多面体 / L-function / K3 Surfaces / Mumford fake projective plane / p-adic geometry / Rigid geometry / Compactification / Moduli / 2次超曲面 / 3次曲面,複素超球 / 群軌道のヒルベルト・スキーム / テータ関数 / 複素超球の算術商 / モジュライのコンパクト化 / flux予想 / L関数 / Mumford射影平面 / p進幾何学 / リジッド幾何学 / コンパクト化 / cohomology / algebraic cycles / motif / 分解定理 / Frobenius / Motif / Algebraic cycles / Toric Variety / Prehomogeneous vector spaces / 対数的代数幾何 / test ideal / 対数アーベル多様体 / モチーフ / Mordell-Weil group / elliptic curves / F-singularities / Q-curves / density theorems / class number / キーワード8 / キーワード7 / キーワード6 / 既均質ベクトル空間 / 可積分系 / 密着閉方 / Q-曲線 / 類数 / Representation Theory / Group Theory / Ring Theory / Algebraic Geometry / Number Theory / 解析数論 / 群論 / 環論 / BELIAN VARIETY / ALGEBRAIC SURFACES / DIOPHANTINE EQUATION / K3 SURFACE / HEIGHT / RATIONAL POINTS / ALGEBRAIC VARIETY / 整数点 / Futaki character / complex Kleinian groups / reaction-diffusion system / Laplace operators on graphs / Carnot groups / harmonic maps / Einstein / カルノ-群 / グリーン関数 / グラフのラプラス作用素 / カルノー群 / アインシュタイン / Stability / moduli / Abelian variety / Simple singularity / Singularity / Representation / 横断性定理 / モノドロミ- / ハイパーケーラー多様体 / ツイスター空間 / マッケイ対応 / ヒルベルトスキーム / スタビリィティ(安定性) / ヒルベルトスキーム / 商特異点 / McKay対応 / Mackey反応 / 単純特異点 / Strongly pseudo-convex CR manifold / Einstein-Kaehler metric / Moduli space / Harmonic map / Geometric variational problem / Nonlinear problem / Geometry of manifolds / 自己双対計量 / 形態形式モデル / 擬射影平面 / 強擬凸CR多様体 / 複素双曲型多様体 / 非線形問題 / conformally flat manifold / Kaehler manifold / reaction-diffusion equation / discrete spectrum / Laplacian / fundamental group / intersection cohomology / p進多様体 / エルゴード性 / テイト予想 / 代数的対称空間 / 非アルキメデス的多様体 / スペクトル / アーベル曲面 / トーリック幾何 / 非線型微分方程式 / 微分作用素 / 複素数多様体 / リーマン多様体 / シュレーディンガー作用素 / 拡散反応方程式 / 共形平坦多様体 / ケーラー多様体 / 反応拡散方程式 / 離散スペクトル / ラプラシアン / 交差コホモロジー / Einstein-Hermitian metric / electro-magnetic field / harmonic map / quantum group / equivariant holonomic system / p-adic analytic space / rational point / ヤン・バックスター方程式 / 一般ヤコビ多様体 / モーデル・ヴェイユ群 / アインシュタイン・エルミート計量 / 電磁場 / p進解析多様体 / Teichmueller space / vector bundle / Calabi-Yau variety / Hodge theory / Shafarevich map / Fano variety / flip / Minimal model / 射影空間 / フェルリンデ公式 / 極小モデル理論 / 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 / フリップ / 極小モデル / トーラス埋め込み / 保型形式 / 保型関数 / 錐体 / 光点特異点 / 数論的多様体 / 旗多様体 / ヘツケ環 / ホツジ加群 / 原始イデアル / 半単純代数群 / 群指標 / 代数サイクル / 凸体 / 変形 / サイクル / 準楕円曲面 / ケンマー曲面 / アルチン不変量 / configuration / 起特異 / クンマー曲面 / 国際研究者交流（オランダ） / カラビ・ヤウ多様体 / F-分裂次元 / 随伴束 / F-純特異点の最小中心 / 対数的標準閾特異点 / 組の特異点 / 半安定性 / 擬斉次 / Hilbert-Kunz重複度 / F-爆発 / Q-Gorenstein性 / フロベニウス射 / F-正則性 / F-跳躍数 / 可換環論 / 代数菌サイクル / フィンスラー計量 / ハーツホーン予想 / フィンスラー多様体 / 代数局面 / K3局面 / 久賀-佐武のアーベル多様体 / アインシュタイ・ケーラー計量 / 複素多様体 / 大域解析 / 微分幾何学 / ゲージ理論 / p進解析 / stable / Hermition / Kihler / metric / Eimitein / シュレディンガー作用素 / 反自己双対接続 / ALE空間 / モディライ空間 / 箙多様体 / 同変K理論 / トーラス作用 / 代数群の表現 / 確定特異点 / 線織面 / 共形場 / Yang-Baxter方程式 / カノニカル基底 / 交叉ホモロジー / Einstein計量 / YangーBaxter方程式 / 超幾何微分方程式 / 超楕円曲面 / 確定特異点型 / 青本・Gelfand方程式系 / 超幾何型微分方程式系 / フ-リエ変換 / 捩れ同変 / ホロノミ-系 / 可解格子模型 / 指標公式 / 局所化定理 / カスプ特異点 / 青木・Galfand方程式 Less

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 – 2024
- 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

1. ODA Tadao (60022555)

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84. 吉田知行 (30002265)

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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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93. 小野薫 (20204232)

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94. 難波誠 (60004462)

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95. CLEMENS Herb

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96. KOLLAR Janos

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97. G. van der Geer

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98. HERB Clemens

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99. JANOS Kollar

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100. MORITA Yasuo Professor

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ISHIDA Masanori 石田 正典

石田 正典 イシダ マサノリ

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トーリック多様体とカスプ特異点の研究Principal Investigator

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Studies on cusp singularities by the theory of formal fansPrincipal Investigator

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Study of cusp singularities by the theory of Groebner basisPrincipal Investigator

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Extensions and applications of the theory of toric varietiesPrincipal Investigator

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関数の実数ベキを許容する代数幾何学の研究Principal Investigator

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ISHIDA Masanori 石田正典

石田正典イシダマサノリ