Miyaoka Yoichi 宮岡洋一

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MIYAOKA Yoichi 宮岡洋一

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Researcher Number	50101077
Other IDs
Affiliation (based on the past Project Information) *help	2016 – 2019: 中央大学, 理工学部, 教授 2012 – 2014: 東京大学, 数理(科)学研究科(研究院), 教授 2001 – 2010: 東京大学, 大学院・数理科学研究科, 教授 2005 – 2006: 東京大学, 大学院数理科学研究科, 教授 1993 – 2000: RIMS, Kyoto Univ., 数理解析研究所, 教授 … More 1992: 京都大学, 数理解折研究所, 教授 1991 – 1992: DEPT. MATH., RIKKYO UNIV., PROF., 理学部, 教授 1989 – 1990: 東京都立大学, 理学部, 教授 1988: 東京都立大学, 理学部, 助教授 Less
Review Section/Research Field	Principal Investigator Algebra / Algebra / 代数学・幾何学 / Geometry Except Principal Investigator Algebra / 代数学・幾何学 / Algebra / Geometry / Basic analysis
Keywords	Principal Investigator ヒッグズ束 / 2次超曲面 / ファノ多様体 / 二次超曲面 / Fano manifolds / 標準次数 / 半安定性 / Bogomolov 不等式 / テンソル積定理 / 制限定理 … More / ヒッグズ層 / 複素シンプレクティック多様体 / 代数曲面 / Higgs束 / ベクトル束 / 商特異点 / 極小モデル / 可積分テンソル層 / テンソル積 / 可積分 A 束 / 作用付き層 / 素数定理 / ベクトル束作用付き層 / 可積分作用をもつ層 / ヒッグス束 / テンソル積保存定理 / Mehta-Ramanathan 型制限定理 / ヒッグス層 / 可積分作用つき層 / Canonical degrees / Conjecture of Green-Griffiths-Lang / Surfaces of general type / Quadric hypersurfaces / Family of rational curves / 導手公式 / ログ幾何学 / モジュラー関数 / 対称空間 / モジュライ / 3次曲面 / 導来圏 / 標準的高さ / ラング予想 / 一般型曲面 / 有理曲線族 / Fano 3-folds / hyperquadrics / projective space / fiber space structure / birational morphism / complex symplectic / Q-ファノ多様体 / 複素トーラス / モディライ空間 / 大域剛性 / 完全可積分ハミルトン系 / 双有理写像 / 有利曲線族 / 変形同値類 / 正則写像 / 高次元多様体 / 三次元ファノ多様体 / 射影空間 / ファイバー構造 / 双有理射 / 複素シンプレクティック / sphere packing / Mardell-Weil lattices / Fermat curves / curves on a surface / relative deformation / projective spaces and hyperquadrics / maximal rationally connected fibration / Monoge-Ampere方程式 / 曲面孤立特異点 / 反射層 / 相対双対層 / モデユライ理論 / 楕円モデュラ-型式 / 一般Hecke作用素 / 一般型多様体 / KaGG"HHhlenーEinstein計量 / Hecke作用素 / 分類理論 / 有界性定理 / 有理連結性 / 球体充てん / Q上の楕円曲線 / MordellーWeil格子 / 位相型の有限性 / 相対変形理論 / 極大有理連結ファイブレ-ション / 極大有理連結部分多様体 / 球体充填 / Mordell-Weil格子 / Fermat曲線 / 曲面上の曲線族 / 相対変形 / 射影空間・二次超曲面 / 極大有理連結ファイブレーション / Fano多様体 / B-M-Y 不等式 / オービフォールド / 尖点曲線 / エフェクティブな Green-Lang 予想 / Mehta-Ramanathan 型定理 / Miyaoka-Yau 不等式 / 積定理 / 半安定 Higgs 束 / スペクトル分解 / 複素シンブレクティック多様体 / Chern類 / Bogomolov-Yau-Simpson不等式 / ABC予想 / Chern 類 / _Bogomolov-Yau-Simpson不等式 / 安定Higgo束 / ABC 予想 / 曲線の次数評価 / 一般型代数曲面 / 変形理論 / 作用付きベクトル束 / 高次元代数多様体 / 代数幾何学 / 標準計量 / 変形 / Boomolov-Gieseker不等式 / チャン類 / Jordanフィルトレーショ / 安定性 / 代数幾何 / 飯高予想 / 平坦座標 / Lang予想 / 多様体上の曲線 / 双正則幾何 / 高次元代数多様 / Galois群 / 実代数多様体 / コンパクト化 / 単有理性 / Fano多様化 / 有理曲線 … More Except Principal Investigator K3曲面 / flip / フリップ / 極小モデル / モジュライ空間 / terminal singularity / flop / K3 surface / 極小モデル理論 / Hodge理論 / アーベル多様体 / Calabi-Yau多様体 / derived category / elliptic structure / extremal neighborhood / symplectic variety / canonical divisor / Fano 3-fold / minimal model / 端末特異点 / Calabi-Yau manifold / Chern数 / 特異点 / 加藤予想 / P進Hodge理論 / ホッヂ理論 / 高次元類体論 / p進Hodge理論 / Chow群 / モチフィックコホモロジー / 代数的サイクル / トーリック多様体 / スタック / 端射線 / フロップ / 導来圏 / 連接層 / 標準因子 / 代数多様体 / カラビ・ヤウ多様体 / 正標数 / 安定性 / コンパクト化 / モジュライ / 共形場理論 / モーデル・ヴェイユ格子 / スペクトル幾何 / 調和写像 / 部分多様体 / L-function / K3 Surfaces / Mumford fake projective plane / p-adic geometry / Rigid geometry / Compactification / Moduli / McKay correspondence / 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 / マッカイ対応 / resolution of singularities / Kato conjecture / finiteness conjecture / motivic cohomology / 高次チャウ群 / ベイリンソン予想 / 高次アーベルヤコビ写像 / P進ホッヂ理論 / Beilinson予想 / Bloch-加藤予想 / 混合モチーフ / 高次Chow群 / 高次Abel-Jacobi写像 / Chow群の有限性 / 特異点解消 / 有限性予想 / stack / toric variety / birational / algebraic variety / D同値 / K同値 / 双有理同値 / 双有理幾何学 / 消滅定理 / グラスマン多様体 / 双有理 / ケーラー錐 / Painleve微分方程式 / シンプレクティック多様体 / Fano多様体 / eliptic surface / Gorenstein singularity / Calabi-Yau 3-fold / cononical bundle / deformation theory / Calabi-Yau threefold / Painleve equation / complex symplectic structure / monodromy / invariants / symplectic singularity / flat structure / regular systems of weights / elliptic L-functions / elliptic Lie algebra / elliptic root systems / elliptic singularities / period maps / primitive forms / Weight系 / エータ積 / 原始保型形式 / 楕円アルティン群 / 平坦座標 / 平坦構造 / 楕円L-函数 / 楕円リー環 / 楕円ワイル群 / 楕円特異点 / 楕円ルート系 / weight系 / 原始形式 / B-model / Abelian variety / mirror conjecture / abundance conjecture / special Lagrangian / Hilbert scheme / Mirror対称 / A-モデル / アパンダンス予想 / B-モデル / カラビーヤウ多様体 / ミラー予想 / アバンダンス予想 / Calabi-Yan多様体 / D-brane / 普遍被覆空間 / ミラー対称 / Mordell-Weil lattice / polarigation / Hamming code / moduli space / code / algebraic geemetry / 群スキーム / P進一意化 / 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 / 偏極 / Hamming符号 / 符号 / 代数幾何学 / Teichmueller space / vector bundle / Calabi-Yau variety / Hodge theory / Shafarevich map / Fano variety / 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 / ベクトル束 / 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 / シュワルツ理論 / 有限モノドロミー群 / 既約制判定条件 / モノドロミー群 / 大久保typeの方程式 / フックス型方程式 / 線型常微分方程式の大域理論 / Willmore曲面 / Mordell予想 / 算術曲面 / ホモロジー理論 / Bloch-Ogusの理論 / Hasse原理 / 有限性定理 / Hodge構造の無限小変動 / モチフィツクコホモロジー / 混合Hodge加群 / レギュレーター写像 / 数論的多様体 / 有限性 / p-進ホッヂ理論 / エタールコホモロジー / ススリンホモロジー / Abelの定理 / 高次Chow軍 / 代数的フアイバー空間 / difficulty / abundance / termination / 巨大因子 / 対数対 / 境界因子 / 標準環 / 混合ホッジ構造 / 半正値性定理 / カラビヤウ多様体 / 単純特異点 / 極小モデル・プログラム / 半直交分解 / 代数的ファイバー空間 / 複素歳何 / 複素幾何 / 複素解析 / 多変数関数論 / 多変数複素解析 / 実関数論 / 関数論 / アルチン・メーザー形式群 / イリュージー層 / ピカール群 / ミラー対称性 / a数 / コホモロジー群 / 超曲面 / コモホロジー群 / 普遍族 / チャーン類 / 閉軌道空間 / Abel 多様体 / Stability / Abel多様体 / レベルN構造 / 楕円曲線 / バンレヴェ方程式 / KZB方程式 / 数論幾何学 / 無限自由度の可積分系 / XXZ model / correlation function / elliptic fibration / Euler number / Teichmuler space / algebraic space / curve / ゼータ関数 / 消滅ルート(vanishing root) / 楕円曲線の優美族 / 高種数の代数曲線 / 楕円曲面 / Dynkin diagram / 標準層のなす環 / Fano 多様体 / 代数多様体の分類論 / 層状空間(Stratification) / Vector 束 / ゲ-ジ理論 / 複素多様体 Less

Algebraic theory of Higgs sheaves and its applicationsPrincipal Investigator
- Principal Investigator
  
  Miyaoka Yoichi
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Chuo University
Study on effective Green conjecturePrincipal Investigator
- Principal Investigator
  
  MIYAOKA Yoichi
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Hodge theoretic and arithmetic aspects of algebraic cycles
- Principal Investigator
  
  SAITO Shuji
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Reviews, developments and applications of the minimal model theoremPrincipal Investigator
- Principal Investigator
  
  MIYAOKA Yoichi
- Project Period (FY)
  2006 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Integrated Research of Analytic and Geometric Invariants of Complex Structure
- Principal Investigator
  
  NOGUCHI Junjiro
- Project Period (FY)
  2005 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
Research on canonical divisors of higher dimensional algebraic varietie
- Principal Investigator
  
  KAWAMATA Yujiro
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
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 of gemetric properties and arithmetic properties of higher dimenional algebraic varieties.Principal Investigator
- Principal Investigator
  
  MIYAOKA Yoichi
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
正標数の高次元カラビ・ヤウ多様体の研究
- Principal Investigator
  
  桂利行
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Research on canonical divisors of higher dimensional algebraic varieties
- Principal Investigator
  
  KAWAMUTA Yujiro
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Algebraic Cycles and Higher Abel-Jacobi map
- Principal Investigator
  
  SAITO Shuji
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Graduate School of Mathematical Sciences, University of Tokyo
  Nagoya University
Classification problems in Higher Dimensional Birational Geometry
- Principal Investigator
  
  MORI Shigefumi
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  KYOTO UNIVERSITY
Complex symplectic manifolds and related topicsPrincipal Investigator
- Principal Investigator
  
  MIYAOKA Yoichi
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
  Kyoto University
モジュライのコンパクト化と閉軌道空間
- Principal Investigator
  
  NAKAMURA Iku
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
数論的代数幾何学に関するオランダとの国際共同に関する企画調査
- Principal Investigator
  
  UENO Kenji
- Project Period (FY)
  1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Various problems related to classifications around the higher dimensional birational geometry
- Principal Investigator
  
  MORI Shigefumi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Primitive Forms and Period Maps
- Principal Investigator
  
  SAITO Kyoji
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  KYOTO UNIVERSITY
高次元代数多様体の双正則幾何Principal Investigator
- Principal Investigator
  
  宮岡洋一
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
高次元代数多様体と共形場理論
- Principal Investigator
  
  森重文
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for international Scientific Research
- Research Institution
  Kyoto University
代数多様体の分類とその上の曲線(共形場理論)
- Principal Investigator
  
  森重文
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
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
代数多様体上の大城解析Principal Investigator
- Principal Investigator
  
  宮岡洋一
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
モーデルヴェイユ格子の研究
- Principal Investigator
  
  SHIODA Tetuji
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Rikkyo 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
多様体の微分幾何学
- Principal Investigator
  
  荻上紘一
- 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 Metropolitan University
解析及び代数幾何学の間の境界領域
- Principal Investigator
  
  笹倉頌夫
- 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 Metropolitan University
THEORY OF ALGEBRAIC VARIETIES AND APPLICATIONS TO RELATED TOPICSPrincipal Investigator
- Principal Investigator
  
  MIYAOKA Yoichi
- Project Period (FY)
  1989 – 1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  RIKKYO UNIVERSITY
  Tokyo Metropolitan University
曲面の特異点の回りでの幾何学
- Principal Investigator
  
  佐々井崇雄
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Metropolitan University
多様体の幾何学
- Principal Investigator
  
  荻上紘一
- Project Period (FY)
  1987 – 1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Metropolitan University

All 2014 2010 2009 2008 2007 2005 2004 Other

All Journal Article Presentation

[Journal Article] Stable Higgs bundles with trivial Chern classes. Several examples.2009
- Author(s)
  Yoichi Miyaoka
- Journal Title
  
  Proc.Steklov Instit.Math.
  
  Volume: 264 Pages: 123-130
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340003
[Journal Article] Stable Higgs bundles with trivial Chern classes. Several examples2009
- Author(s)
  Y.Miyaoka
- Journal Title
  
  Proc.Steklov Inst.Math. 264
  
  Pages: 123-130
- Data Source
  KAKENHI-PROJECT-19340003
[Journal Article] Counting lines and conics on a surface2009
- Author(s)
  Y.Miyaoka
- Journal Title
  
  Publ.Res.Inst.Math.Sci. 45
  
  Pages: 919-923
- Data Source
  KAKENHI-PROJECT-19340003
[Journal Article] Counting lines and conics on a surface2009
- Author(s)
  Yoichi Miyaoka
- Journal Title
  
  Publ.Res.Inst.Math.Sci.
  
  Volume: 45 Pages: 910-923
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340003
[Journal Article] Stable Higgs bundles with trivial Chern classes2009
- Author(s)
  Y. Miyaoka
- Journal Title
  
  Proc.Steklov Inst.Math. 264
  
  Pages: 129-136
- Data Source
  KAKENHI-PROJECT-19340003
[Journal Article] Counting line and conics on a surface2009
- Author(s)
  Y. Miyaoka
- Journal Title
  
  Publ.Res.Inst.Math.Sci. 45
  
  Pages: 919-923
- Data Source
  KAKENHI-PROJECT-19340003
[Journal Article] The orbibundle Miyaoka-Yau-Sakai inequality and an effective2008
- Author(s)
  Y. Miyaoka
- Journal Title
  
  Bogomolov-McQuillan theorem, Publ. Res, Inst. Math. Sci. 44
  
  Pages: 403-417
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17104001
[Journal Article] Theo orbibundle Miyaoka-Yau inequality and an effective Bogomolov-McQ uillan theorem2008
- Author(s)
  Yoichi Miyaoka
- Journal Title
  
  Publ. Res. Inst. Math. Sci. 44
  
  Pages: 403-417
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340003
[Journal Article] The orbibundle Miyaoka-Yau- Sakai inequality and an effective Bogomolov-McQuillan theorem2008
- Author(s)
  Y.Miyaoka
- Journal Title
  
  Publ.Res.Inst.Math.Sci. 44
  
  Pages: 403-417
- Data Source
  KAKENHI-PROJECT-19340003
[Journal Article] Theo orbibundle Miyaoka-Yau inequality and an effective Bogomolov-Mc Quillan theorem2008
- Author(s)
  Yoichi Miyaoka
- Journal Title
  
  Publ. Res. Inst. Math. Sci. 44
  
  Pages: 403-417
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340003
[Journal Article] The orbifold Miyaoka-Yau-Sakai inequality and an effective Bogomolov-McQuillan theorem2007
- Author(s)
  Y.Miyaoka
- Journal Title
  
  Publ.Res.Inst.Math.Sci 44
  
  Pages: 403-418
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340003
[Journal Article] An example of stable Higgs bundles for which the Bogomolov inequality fails2005
- Author(s)
  Y.Miyaoka
- Journal Title
  
  第50回代数学シンポジウム報告集
  
  Pages: 2003-2009
- Data Source
  KAKENHI-PROJECT-15654002
[Journal Article] Numerical characterizations of hyperguadrics2004
- Author(s)
  Y.Miyaoka
- Journal Title
  
  Adv.Stud.Pure Math. 42
  
  Pages: 209-235
- Data Source
  KAKENHI-PROJECT-15654002
[Journal Article] Numerical characterisations of hyperquadrics2004
- Author(s)
  Y.Miyaoka
- Journal Title
  
  Adv.Stud.Pure Math. (Complex analysis in several variables - Memorial Conference of Kiyoshi Oka's Centennial Birthday) 42
  
  Pages: 209-235
- Data Source
  KAKENHI-PROJECT-16204001
[Journal Article] Numerical characterizations of hyperquadrics2004
- Author(s)
  Yoichi Miyaoka
- Journal Title
  
  Advanced Studies in Pure Mathematics 42
  
  Pages: 209-235
- Data Source
  KAKENHI-PROJECT-16340001
[Journal Article] Numerical characterizations of hyperquadrics2004
- Author(s)
  Yoichi MIYAOKA
- Journal Title
  
  Universita degli Studi di Torino
  
  Pages: 559-562
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340001
[Journal Article] Numerical characterizations of hyperquadrics2004
- Author(s)
  Yoichi MIYAOKA
- Journal Title
  
  Pure Math 42
  
  Pages: 209-235
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340001
[Journal Article] Numerical characterizations of hyperquadrics2004
- Author(s)
  Yoichi MIYAOKA
- Journal Title
  
  Universita desli Studi di Torino
  
  Pages: 559-562
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340001
[Journal Article] A remark on a theorm of Bogomolov2004
- Author(s)
  Yoichi MIYAOKA
- Journal Title
  
  Publ. RIMS 42
  
  Pages: 209-235
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340001
[Journal Article] Examples of stable Higgs bundles with flat connections2004
- Author(s)
  宮岡洋一
- Journal Title
  
  広島代数幾何シンポジウム報告集
  
  Pages: 83-94
- Data Source
  KAKENHI-PROJECT-15654002
[Journal Article] A remark on a theorm of Bogomolov
- Author(s)
  Yoichi MIYAOKA
- Journal Title
  
  Publ. RIMS (accepted)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340001
[Presentation] The Mehta-Ramanathan theorem and the Bogomolov inequality for semistable Higgs bundles2014
- Author(s)
  Y. Miyaoka
- Organizer
  Moduli spaces of real and complex varieties
- Place of Presentation
  Universite Angers
- Year and Date
  2014-06-03
- Invited
- Data Source
  KAKENHI-PROJECT-24540034
[Presentation] Bogomolov-宮岡-Yau 不等式をめぐって2014
- Author(s)
  宮岡洋一
- Organizer
  日本数学会幾何学分科会　第１３回岡シンポジウム
- Place of Presentation
  奈良女子大学理学部
- Year and Date
  2014-12-06
- Invited
- Data Source
  KAKENHI-PROJECT-24540034
[Presentation] Algebraic theory of Higgs bundles2014
- Author(s)
  Y. Miyaoka
- Organizer
  Complex analysis and geometry
- Place of Presentation
  Universitat Freiburg
- Year and Date
  2014-08-21
- Invited
- Data Source
  KAKENHI-PROJECT-24540034
[Presentation] On the structure of Higgs bundles2010
- Author(s)
  宮岡洋一
- Organizer
  International Confernce "Algebraic Geometry in Characteristic p"
- Place of Presentation
  東京大学数理科学研究科
- Data Source
  KAKENHI-PROJECT-19340003
[Presentation] 安定性・Bogomolov不等式・Miyaoka-Yau不等式2010
- Author(s)
  宮岡洋一
- Organizer
  代数学シンポジウム
- Place of Presentation
  北海道大学学術交流会館
- Data Source
  KAKENHI-PROJECT-19340003
[Presentation] 安定性, Bogomolov不等式, Miyaoka-Yau不等式2010
- Author(s)
  宮岡洋一
- Organizer
  代数学シンポジウム
- Place of Presentation
  北海道大学
- Year and Date
  2010-08-10
- Data Source
  KAKENHI-PROJECT-19340003
[Presentation] The Bogomolov inequality for semistable Higgs bundles2010
- Author(s)
  宮岡洋一
- Organizer
  Korea-Japan Symposium on Algebraic Geometry and Arithmetic Geometry
- Place of Presentation
  Korean Institute of Advanced Study (KIAS)
- Data Source
  KAKENHI-PROJECT-19340003
[Presentation] Thirty years of the Bogomolov-Miyaoka-Yau inequalities2009
- Author(s)
  Yoichi Miyaoka
- Organizer
  Invariants in Algebraic Geometry
- Place of Presentation
  東京大学
- Year and Date
  2009-11-02
- Data Source
  KAKENHI-PROJECT-19340003
[Presentation] Thirty years of the Bogomolov-Miyaoka-Yau inequalities2009
- Author(s)
  宮岡洋一
- Organizer
  International Symposium "Invaritants in Algebraic Geometry"
- Place of Presentation
  東京大学数理科学研究科
- Data Source
  KAKENHI-PROJECT-19340003
[Presentation] The Bogomolov-Yau-Simpson inequality for stable Higgs bundles2008
- Author(s)
  Y. Miyaoka
- Organizer
  Internat. Conf. Celeb. S. T. Yau's Birthday
- Place of Presentation
  Harvard University, U. S. A.
- Year and Date
  2008-08-29
- Data Source
  KAKENHI-PROJECT-17104001
[Presentation] Bogomomolov inequality for semistable Higgs bundes2008
- Author(s)
  宮岡洋一
- Organizer
  Concluding Workshop of WAG 2007/08
- Place of Presentation
  University of Warwick, Coventry, U.K.
- Data Source
  KAKENHI-PROJECT-19340003
[Presentation] Bogomolov-Kobayashi-Uhlenbeck-Yau-Simpson inequality for Higgs bundles2008
- Author(s)
  宮岡洋一
- Organizer
  International Confernce "Geometric Analysis : Prensent and Future"
- Place of Presentation
  Harvard University, Cambridge, MA, USA
- Data Source
  KAKENHI-PROJECT-19340003
[Presentation] Bogomolov-Yau-Simpson inequality for stable Higgs bundles2008
- Author(s)
  Yoichi Miyaoka
- Organizer
  Concluding WAG 2007/08 Conference
- Place of Presentation
  University of Warwick
- Year and Date
  2008-07-23
- Data Source
  KAKENHI-PROJECT-19340003
[Presentation] Canonical degree of curves on a surface of general type2007
- Author(s)
  宮岡洋一
- Organizer
  International Symposium "Holomorphic and Algebraic Curves in Algebraic Varieties
- Place of Presentation
  University of Montreal, Montreal, Quebec, Canada
- Data Source
  KAKENHI-PROJECT-19340003
[Presentation] Canonical degree of curves on a surface of general type2007
- Author(s)
  宮岡洋一
- Organizer
  Intertainal Conference "Algebraic Geometry in Higher Dimensions
- Place of Presentation
  Levico Terme, Italy
- Data Source
  KAKENHI-PROJECT-19340003
[Presentation] Maximal rationally connected fibrations I, II2007
- Author(s)
  宮岡洋一
- Organizer
  Characterizations of projective spaces and hyperquadrics, School on rationally connected varieties, American Institute of Mathematical Sciences
- Place of Presentation
  Palo Alto, CA, USA
- Data Source
  KAKENHI-PROJECT-19340003
[Presentation] Semistable Higgs bundles and Bogomolov Inequality
- Author(s)
  Yoichi Miyaoka
- Organizer
  Foliations on algebraic varieties
- Place of Presentation
  米国　ニューヨーク市
- Invited
- Data Source
  KAKENHI-PROJECT-24540034
[Presentation] Canonical degrees of curves on surfaces of general type
- Author(s)
  Yoichi Miyaoka
- Organizer
  C.I.M.E.
- Place of Presentation
  イタリア Lamezia Terme
- Invited
- Data Source
  KAKENHI-PROJECT-24540034

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Miyaoka Yoichi 宮岡 洋一

MIYAOKA Yoichi 宮岡 洋一

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Algebraic theory of Higgs sheaves and its applicationsPrincipal Investigator

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Study on effective Green conjecturePrincipal Investigator

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Reviews, developments and applications of the minimal model theoremPrincipal Investigator

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Study of gemetric properties and arithmetic properties of higher dimenional algebraic varieties.Principal Investigator

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Complex symplectic manifolds and related topicsPrincipal Investigator

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Miyaoka Yoichi 宮岡洋一

MIYAOKA Yoichi 宮岡洋一