MIYAOKA Yoichi 宮岡洋一

Researcher Number	50101077
Other IDs
Affiliation (based on the past Project Information) *help	2016 – 2018: 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 / 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 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

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] 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] 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 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 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-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 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-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 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] 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] 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
  
  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] 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] 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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

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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