Sumihiro Hideyasu 隅広秀康

… Alternative Names

SUMIHIRO Hideyasu 隅広秀康

隅廣秀康スミヒロヒデヤス

隅広秀康スミヒロヒデヤス

SUMIHIRO Hideyasu Assis 隅広秀康

Less

Researcher Number	60068129
Other IDs
Affiliation (Current)	2022: 広島大学, 先進理工系科学研究科(理), 名誉教授
Affiliation (based on the past Project Information) *help	2014: 広島大学, 大学院理学研究科, 名誉教授 2012 – 2014: 広島大学, 理学(系)研究科(研究院), 名誉教授 2007 – 2012: Hiroshima University, 大学院・理学研究科, 名誉教授 2006: Hiroshima University, Graduate School of Science, Honorary Professor, 大学院理学研究科, 名誉教授 2005: 広島大学, 大学院・理学研究科, 名誉教授 … More 2001 – 2004: 広島大学, 大学院・理学研究科, 教授 1999: 広島大学, 大学院・理学研究科, 教授 1995 – 1998: Hiroshima Univ., Math. Depart., Professor, 理学部, 教授 1993 – 1994: 広島大学, 理学部, 助教授 1991: 広島大学, 理学部, 助教授 1988 – 1989: Faculty of Science, Hiroshima University, 理学部, 助教授 Less
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator Algebra / Algebra / 代数学・幾何学
Keywords	Principal Investigator ベクトル束 / Vector Bundles / Hartshorne予想 / 行列式多様体 / 代数幾何学 / 代数学 / Frobenius写像 / ベクトル束の分解問題 / 保型形式 / Determinantal varieties … More / 射影空間上のベクトル束 / ヒルベルトスキーム / フロベニウス写像 / Calabi-Yau多様体 / Euler標数 / Hodge加群 / 小平消滅定理 / ペクトル束 / 多様体 / 無限次元リー代数 / ファイマン積分 / 代数多様体の分類 / 微分幾何学 / 位相幾何学 / Manifolds / Infinite dimensional Lie algebras / Modular forms / Feynman path integrals / モジュライ空間 / 量子群 / D-加群 / 超幾何関数 / Hodge理論 / モイレェゾニ多様体 / モイレェゾン多様体 / Moduli Spaces / Quantum Groups / D-Modules / Hypergeometric Functions / Modular Forms / Hodge Theory / Moishezon Manifolds / チャウ群 / 双変層 / アレキサンダー・スキーム / リジッド・コホモロジー / 特異多様体 / 代数的サイクル / Chow groups / Bivariant sheaves / Alexander schemes / Rigid cohomologies / ベクトル束の分解定理 / 射影空聞上のベクトル束 / 小平の消滅定理 / Cartierの同型定理 / 射影空間 / 消滅定理 / Vector bundles / Hartshorne conjecture / Hilbert schemes / Frobenius morphism / Splitting theorem for vector bundles / 半安定ベクトル束 / Hartshome予想 / フロべニウス写像 / ベクトル束の分解 / Algebra / Hartshorne Conjecture / Determinantal Varieties / Hilbert Schemes / Frobenius morphisms / Stable Vector Bundles … More Except Principal Investigator 保型形式 / 代数群 / 代数幾何学 / モジュライ / 超幾何関数 / ベクトル束 / 代数解析 / 量子群 / L関数 / 新谷関数 / 保型表現 / 導来圏 / ダイマー模型 / マッカイ対応 / モジュライ空間 / ホッジ理論 / 可換環 / Commutative algebra / (混合)周期写像 / (混合)Torelli問題 / (混合)Hodge構造 / 一般型曲面 / 楕円曲面 / 変形理論 / 退化理論 / 有限体 / ファインマン経路積分 / 組みひも / Lー関数 / D加群 / リー環 / 無限次元リー代数 / ねじれホモロジー群 / ねじれコホモロジー群 / 交点数 / 周期行列 / 表現論 / 代数解析学 / アイゼンシュタイン級数 / ポアンカレ級数 / K3曲面 / ネロン・セヴェリ格子 / 超越格子 / 6次曲線 / 超特異K3曲面 / 射影モデル / 平面6次曲線 / 基本群 / 格子理論 / 超特異性 / フロベニウス固有値 / 単有理性 / 2次剰余符号 / 分岐被覆 / ザリスキ・ファンカンペン / 単純K3特異点 / 有理2重点 / ザリスキペア / ザリスキ・ファンカンペンの定理 / Q コニック束 / 因子収縮射 / フリップ収縮射 / 反標準線形系 / Du Val 特異点 / 端末特異点 / 特異点解消 / 極小モデルプログラム / Qコニック束 / 一般象予想 / Du Val特異点 / 端収縮射 / Qデルペゾ束 / デュバル特異点 / Qファノ多様体 / 特異ファイバー / アルゴリズム / McKay対応 / ミラー対称性 / ヒルベルトスキーム / クレパント解消 / 非可換クレパント解消 / 国際研究者交流（スペイン） / 代数幾何 / 数論的幾何 / 解析幾何 / トーリック幾何 / 対数的幾何 / 格子模型 / 圏 / グラフ上の大域解析 / 対数的幾何学 / グラフ / 大域解析 / ヘッケ環 / 特異点理論 / 結び目 / 絡み目 / algebraic geometry / arithmetic geometry / analytic geometry / toric geometry / logarithmic geometry / lattice model / category / global analysis on graphs / 代数多様体 / トーリック多様体 / 計算幾何 / アーベル多様体 / 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 / Computational geometry / Abelian variety / リー代数 / algebraic groups / Lie algebras / Quantum groups / シーゲル保型形式 / 保型エル函数 / エル函数の特殊値 / ドリーニュ予想 / 相対跡公式 / 跡公式 / ジーゲル保型形式 / 保型形式の持ち上げ / クルスターマン和 / Siegel modular form / automorphic L-function / special value of L-function / Deligne's conjecture / relative trace formula / trace formula / 特異点 / 数理的代数幾何 / 可換理論 / 半群論 / ディンキン数学 / 複素微分幾何 / 双有理幾何学 / 多様体の大域的研究 / アインシュタイン・ケーラー多様体 / 2次元可解模型 / 半群 / 組紐群 / 数論的代数幾何 / パンルベ方程式 / 超平面配置 / Hodge theory / Singularity / Arithmetic algebraic geometry / Semigroup / Dynkin mathematics Less

Research on the McKay correspondence and derived categories
- Principal Investigator
  
  ISHII Akira
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University
Moduli spaces and derived categories
- Principal Investigator
  
  ISHII Akira
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University
K3 surfaces and related algebraic varieties
- Principal Investigator
  
  SHIMADA Ichiro
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University
Various problems related to the classification in higher dimensional birational geometry
- Principal Investigator
  
  MORI Shigefumi
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Study of vector bundles on algebraic varietiesPrincipal Investigator
- Principal Investigator
  
  SUMIHIRO Hideyasu
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University
Study of Vector Bundles on ManifoldsPrincipal Investigator
- Principal Investigator
  
  SUMIHIRO Hideyasu
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University
Vector Bundles on ManifoldsPrincipal Investigator
- Principal Investigator
  
  SUMIHIRO Hideyasu
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University
On arithmetic theory of automorphic forms and special values of automorphic L-functions
- Principal Investigator
  
  FURUSAWA Masaaki
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka City University
  Hiroshima University
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
Represontation theory of algebraic groups
- Principal Investigator
  
  TANISAKI Toshiyuki
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  HIROSHIMA UNIVERSITY
Algebraic Intersection Theory on Singular VarietiesPrincipal Investigator
- Principal Investigator
  
  SUMIHIRO Hideyasu
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  HIROSHIMA UNIVERSITY
超幾何関数の代数幾何学的研究
- Principal Investigator
  
  MATSUMOTO Keiji
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Hiroshima University
代数群の表現論の代数解析学的研究
- Principal Investigator
  
  谷崎俊之
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University
保型表現と保型L関数の研究
- Principal Investigator
  
  菅野孝史
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University
VECTOR BUNDLES ON MANIFOLDSPrincipal Investigator
- Principal Investigator
  
  SUMIHIRO Hideyasu
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  HIROSHIMA UNIVERSITY
Calabi-Yau多様体の代数位相幾何学的研究Principal Investigator
- Principal Investigator
  
  隅広秀康
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Hiroshima University
無限次元リー代数の代数解析学的研究
- Principal Investigator
  
  谷崎俊之
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University
保型形式及び保型L関数の研究
- Principal Investigator
  
  菅野孝史
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University
Mathematics on manifolds
- Principal Investigator
  
  ODA Tadao
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
VECTOR BUNDLES ON MANIFOLDSPrincipal Investigator
- Principal Investigator
  
  SUMIHIRO Hideyasu
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  HIROSHIMA UNIVERSITY
代数群の表現論の代数解析学的研究
- Principal Investigator
  
  TANISAKI Toshiyuki
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University
保型形式の数論
- Principal Investigator
  
  KOIKE Masao
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Hiroshima University
代数幾何学とHodge理論
- Principal Investigator
  
  臼井三平
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for Co-operative Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kochi University
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 2008

All Journal Article Presentation

[Journal Article] Canonical filtrations and stability of direct images by Frobenius morphisms2008
- Author(s)
  Yukinori Kitadai and Hideyasu Sumihiro
- Journal Title
  
  Tohoku Mathematical Joumal 60(掲載決定)
- NAID
  110006691412
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540034
[Journal Article] Canonical filtrations and stability of direct images by Frobenius morphisms2008
- Author(s)
  Yukinori Kitadai, Hid eyasu Sumihiro
- Journal Title
  
  Tohoku Mathematical Journal 60
  
  Pages: 287-301
- NAID
  110006691412
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540034
[Journal Article] Canonical filtrations and stability of direct images by Frobenius morphisms II2008
- Author(s)
  Yukinori Kitadai, Hid eyasu Sumihiro
- Journal Title
  
  Hiroshima Mathematical Journal 38
  
  Pages: 243-261
- NAID
  110006794235
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540034
[Journal Article] Canonical filtrations and stability of direct images by Frobenius morphisms II2008
- Author(s)
  Yukinori Kitadai, Hideyasu Sumihiro
- Journal Title
  
  Hiroshima Math. J. Vol.38
  
  Pages: 241-261
- NAID
  110006794235
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540034
[Journal Article] Canonical filtrations and stability of direct images by Frobenius morphims. II2008
- Author(s)
  Yukinori Kitadai and Hideyasu Sumihiro
- Journal Title
  
  Hiroshima Mathematical Journal 38(掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540034
[Journal Article] Canonical filtrations and stability of direct images by Frobenius morphisms2008
- Author(s)
  Yukinori Kitadai, Hideyasu Sumihiro
- Journal Title
  
  Tohoku Math. J. Vol.60
  
  Pages: 287-301
- NAID
  110006691412
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540034
[Presentation] 余接束のフロベニウス写像による直像の安定性2008
- Author(s)
  北臺如法, 隅広秀康
- Organizer
  日本数学会年会
- Place of Presentation
  近畿大学理工学部
- Year and Date
  2008-03-26
- Data Source
  KAKENHI-PROJECT-19540034

1. SUGANO Takashi (30183841)

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2. TANISAKI Toshiyuki (70142916)

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3. KIMURA Shunichi (10284150)

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4. TSUZUKI Nobuo (10253048)

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5. ISHII Akira (10252420)

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6. MATSUMOTO Keiji (30229546)

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7. ODA Tadao (60022555)

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8. SHIODA Tetsuji (00011627)

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9. KOIKE Masao (20022733)

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10. OKAMOTO Kiyosato (60028115)

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11. SHIMADA Ichiro (10235616)

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12. UENO Kenji Professor (40011655)

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13. MIYANISHI Masayoshi (80025311)

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15. KANNO Hiroaki (90211870)

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18. ITO Hiroyuki (60232469)

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37. TAKAGI Hiromichi (30322150)

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38. HAYAKAWA Takayuki (20198823)

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72. MATSUKI Kenji

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73. PROKHOROV Yuri

# of Collaborated Projects: 1 results

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Sumihiro Hideyasu 隅広 秀康

SUMIHIRO Hideyasu 隅広 秀康

隅廣 秀康 スミヒロ ヒデヤス

隅広 秀康 スミヒロ ヒデヤス

SUMIHIRO Hideyasu Assis 隅広 秀康

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Study of vector bundles on algebraic varietiesPrincipal Investigator

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Study of Vector Bundles on ManifoldsPrincipal Investigator

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Vector Bundles on ManifoldsPrincipal Investigator

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Algebraic Intersection Theory on Singular VarietiesPrincipal Investigator

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Sumihiro Hideyasu 隅広秀康

SUMIHIRO Hideyasu 隅広秀康

隅廣秀康スミヒロヒデヤス

隅広秀康スミヒロヒデヤス

SUMIHIRO Hideyasu Assis 隅広秀康