Miyaoka Yoichi 宮岡洋一

… Alternative Names

Researcher Number	50101077
Other IDs
Affiliation (Current)	2019 : 中央大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help	2016 – 2017 : 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
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 / 2次超曲面 / ファノ多様体 / 極小モデル / 代数曲面 / ベクトル束 / 標準次数 / 商特異点 / ヒッグズ層 / 複素シンプレクティック多様体 … More Except Principal Investigator 極小モデル / フリップ / モジュライ空間 / flip / K3曲面 / terminal singularity / Hodge理論 / Calabi-Yau多様体 / アーベル多様体 / K3 surface / 極小モデル理論 / flop / 部分多様体 / 共形場理論 / フロップ / extremal neighborhood / minimal model / 導来圏 / 正標数 / 連接層 / P進Hodge理論 / ホッヂ理論 / スペクトル幾何 / 端射線 / 特異点 / Fano 3-fold / 端末特異点 / 調和写像 / スタック / コンパクト化 / elliptic structure / symplectic variety / Chow群 / p進Hodge理論 / canonical divisor / Calabi-Yau manifold / 高次元類体論 / トーリック多様体 / カラビ・ヤウ多様体 / モーデル・ヴェイユ格子 / 加藤予想 / 代数多様体 / Chern数 / モジュライ / 安定性 / 代数的サイクル / derived category / 標準因子 / モチフィックコホモロジー / アルチン・メーザー形式群 / Hamming符号 / 代数多様体の分類論 / 符号 / 消滅ルート(vanishing root) / McKay correspondence / 楕円L-函数 / 算術曲面 / 関数論 / 極小モデル・プログラム / モノドロミー群 / special Lagrangian / Painleve微分方程式 / 偏極 / cononical bundle / 高次Chow軍 / 数論的多様体 / 高次Abel-Jacobi写像 / ファノ多様体 / elliptic Lie algebra / 多項式 / チャーン類 / 射影空間 / elliptic L-functions / flat structure / 実関数論 / シャファレビッチ写像 / 楕円ワイル群 / Abel多様体 / アバンダンス予想 / XXZ model / birational / monodromy / 楕円ルート系 / L-function / ベクトル束 / Hodge theory / motivic cohomology / 複素多様体 / elliptic singularities / Calabi-Yau 3-fold / B-モデル / 有限性定理 / Weight系 / P進ホッヂ理論 / 層状空間(Stratification) / 対数対 / 量子コホモロジー / 2次超曲面 / invariants / 標準層のなす環 / Painleve equation / vector bundle / p-adic geometry / symplectic singularity / モチフィツクコホモロジー / K3 Surfaces / Minimal model / レギュレーター写像 / バンレヴェ方程式 / リジッド幾何学 / エータ積 / a数 / 混合ホッジ構造 / 複素歳何 / 高次Chow群 / 境界因子 / toric variety / カラビ・ヤオ多様体 / Mumford射影平面 / 高次チャウ群 / eliptic surface / 線型常微分方程式の大域理論 / 標準環 / 消滅定理 / Fano多様体 / period maps / p-進ホッヂ理論 / 既約制判定条件 / 複素幾何 / B-model / 代数的ファイバー空間 / Calabi-Yan多様体 / 3次曲面,複素超球 / 代数幾何学 / モジュライのコンパクト化 / 普遍被覆空間 / 半正値性定理 / 大久保typeの方程式 / Beilinson予想 / P進一意化 / ピカール群 / correlation function / Compactification / difficulty / Bloch-Ogusの理論 / 平坦座標 / 特異点解消 / ケーラー錐 / ススリンホモロジー / 基本群 / 巨大因子 / マッカイ対応 / Teichmueller space / mirror conjecture / ミラー対称 / Stability / 混合モチーフ / Abelの定理 / Abel 多様体 / 有限性予想 / Hamming code / シュワルツ理論 / 楕円曲線の優美族 / ホッジ理論 / algebraic variety / primitive forms / ミラー予想 / タイヒミューラー空間 / 数論幾何学 / 群軌道のヒルベルト・スキーム / Kato conjecture / アパンダンス予想 / 超曲面 / Mordell-Weil格子 / 混合Hodge加群 / 楕円アルティン群 / コモホロジー群 / ミラー対称性 / code / 代数的フアイバー空間 / elliptic root systems / 原始保型形式 / テータ関数 / 原始形式 / Dynkin diagram / Fano variety / stack / ゼータ関数 / resolution of singularities / Rigid geometry / 群スキーム / Hodge構造の無限小変動 / Bloch-加藤予想 / グラスマン多様体 / moduli space / ゲ-ジ理論 / 有限性 / フックス型方程式 / 楕円リー環 / Chow群の有限性 / A-モデル / 楕円曲線 / 多変数複素解析 / Gorenstein singularity / 単純特異点 / Euler number / Hilbert scheme / K同値 / abundance / 高種数の代数曲線 / abundance conjecture / Mordell-Weil lattice / D同値 / elliptic fibration / 複素超球の算術商 / weight系 / カラビーヤウ多様体 / Calabi-Yau threefold / L関数 / 双有理 / regular systems of weights / 双有理幾何学 / KZB方程式 / カラビヤウ多様体 / イリュージー層 / 有限モノドロミー群 / ベイリンソン予想 / deformation theory / 多変数関数論 / 普遍族 / flux予想 / complex symplectic structure / Hasse原理 / 形式群 / D-brane / ホモロジー理論 / p進幾何学 / polarigation / フェルリンデ公式 / 双有理同値 / コホモロジー群 / Golay符号 / 平坦構造 / Calabi-Yau variety / レベルN構造 / Vector 束 / ミラーシンメトリー / Willmore曲面 / Shafarevich map / algebraic space / finiteness conjecture / エタールコホモロジー / Teichmuler space / algebraic geemetry / 無限自由度の可積分系 / 複素解析 / Mordell予想 / Moduli / Mumford fake projective plane / シンプレクティック多様体 / curve / 楕円曲面 / 楕円特異点 / Fano 多様体 / 高次アーベルヤコビ写像 / 半直交分解 / p-進一意化 / Abelian variety / termination / 閉軌道空間 / Mirror対称 Less

ヒッグズ層の代数理論とその応用Principal InvestigatorOngoing
- Principal Investigator
  
  宮岡洋一
- 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

宮岡 洋一 ミヤオカ ヨウイチ

MIYAOKA Yoichi 宮岡 洋一

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ヒッグズ層の代数理論とその応用Principal InvestigatorOngoing

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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

宮岡洋一ミヤオカヨウイチ

MIYAOKA Yoichi 宮岡洋一