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

    (29 results)
  • Research Products

    (39 results)
  • Co-Researchers

    (94 People)
  •  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
  • 1.  KATSURA Toshiyuki (40108444)
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