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MARUYAMA Masaki  丸山 正樹

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丸山 正樹

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Researcher Number 50025459
Affiliation (based on the past Project Information) *help 2006: Kyoto University, Graduate School of Science, Professor, 大学院理学研究科, 教授
2005: 京都大学, 大学院・理学研究科, 理事
1995 – 2005: 京都大学, 大学院・理学研究科, 教授
1996: Kyoto Univ., Math.Dept., Professor, 大学院理学研究科, 教授
1990 – 1994: Kyoto Univ., Fac. of Sci., Prof., 理学部, 教授
1988 – 1989: Associate Professor, Dept. of Math. Fac. of Sci Kyoto Univ., 理学部, 助教授
1986: 京都大学, 理学部, 助教授
Review Section/Research Field
Principal Investigator
Algebra / 代数学・幾何学 / Algebra
Except Principal Investigator
代数学・幾何学 / Algebra / Geometry / Algebra
Keywords
Principal Investigator
モデュライ / ベクトル束 / 安定層 / stable vector bundle / 変形 / 安定ベクトル束 / Moduli / Vector Bundle / 代数多様体 / 代数幾何学 … More / 可換環論 / 計算機代数 / projective space / Tango bundle / vector bundle / computer algebra / ドナルドソン多項式 / 丹後バンドル / Singular / 障害理論 / 還元列 / コホモロジー / 射影空間 / 丹後束 / exceptional line / boundedness / simple complex / reflexive sheaf / Bogomolov's inequality / moduli / stable sheaf / Bogomolovの不等式 / Bogomolov不等式 / 代数的空間 / 第2種例外直線 / 有界性 / 単純な複体 / 反射的加群 / ボゴモロフの不等式 / Projective Plane / Betti Number / Parabolic Stable Sheaf / Instanton / Hermit-Einstein connection / Stable Sheaf / Weil予想 / 位相構造 / 射影平面 / Betti数 / 放物安定層 / インスタントン / Hermite-Einstein接続 / Stable Sheaves / Conformal Field Theory / Kahler Manifold / Classification of Algebraic Varieties / Algebraic Variety / Algebraic Geometry / 特異点 / 放物束 / Hodge-理論 / 算術的代数多様体 / モジュライ / 代数様体 / 算術的代数幾何学 / ホッジ理論 / モデュライ理論 / 代数多様体の変形 / 共形場理論 / Kahler多様体 / 代数多様体の分類 / 多項式環 / 符号理論 / グレブナー基底 / conformal field theory / コンパクト化 … More
Except Principal Investigator
モジュライ空間 / 共形場理論 / 分類空間 / 形式群 / ベクトル束 / アーベル多様体 / moduli space / 代数幾何学 / 代数曲線 / ミラー対称性 / 数論幾何学 / K3曲面 / 自由ループ群 / 保型形式 / ホッジ理論 / 可換環 / 量子群 / L-function / nilpotent orbit / Moduli space / Flore homology / Conley homology / 位相的場の理論 / 曲線の退化 / モジュラー函手 / ゲージ群 / Classifying space / 代数幾何 / 変形理論 / KZ方程式 / Calabi-Yau多様体 / カラビ・ヤウ多様体 / モ-スホモトピー / K-理論 / Commutative Algebra / 特異点 / 数論的多様体 / 代数多様体 / 対数幾何 / 双有理幾何 / ディオファントス幾何 / 退化 / 代数曲面 / 数論的代数幾何学 / Unitarizability / Automorphic form / 2次形式 / 明示公式 / ユニタリー表現 / テータ級数 / Painleve Equation / Number Theory / Algebraic Geometry / Ring Theory / PainleVe'方程式 / 超弦理論 / Painleve方程式 / 整数論 / 環論 / 可換環論 / birational geometry / Mukai flop / deformation / complex symplectic variety / derived categories / 複素単純リー環 / シンプレクティック特異点 / 複素シンプレクティック多様性 / フロップ / Poisson変形 / べき零軌道 / 向井フロップ / 変形 / 複素シンプレクティック多様体 / 導来圏 / Iwasawa theory / ramificaiton theory / log abelian variety / Log geometry / SL(2)-orbit / Clarifying space / Hodge structure / l進層 / Rimemann-Roch / 導手 / 分岐 / スキーム / 玉河数 / 複素トーラス / 岩澤理論 / L関数 / 分岐理論 / 対数的アーベル多様体 / SL(2)軌道 / Hodge構造 / Painleve equations / Arithmetic geometry / Rigid geometry / Topological field theory / Modular functor / Conformal field theory / Integrable systems with infinite degrees of freedom / p進微分方程式 / Artin-Mazur形式群 / リー代数 / 3次元多様体の不変量 / 幾何学的クリスタル / p進解析空間 / 位相場の理論 / モジュライ函手 / Rigid幾何学 / 遠アーベル幾何学 / ワイル群 / タイヒミュラー空間 / モノドロミー表現 / 重複ファイバー / ヤコビ多様体 / 無限次元代数 / 政論幾何学 / パンルヴェ方程式 / 剛幾何学 / 無限可積分系 / Rational point / Diophantine Geometry / Logarithmic Geometry / サイクル / 算術的多様体 / 代数スタッフ / モジュラル空間 / ピカール群 / 安定曲線 / 数論的関数体 / ゼータ関数 / 数学的函数体 / モジュラー的高さ / ゼータ函数 / 代数的サイクル / 有理点 / 対数幾何学 / Hopf space / adjoint representation / free loop group / gauge group / Hopf空間 / 随伴作用 / Lagrangian submanifold / Kuranishi map / pseudoholomorphic curve / Mirror symmetry / Homotopical Algebra / Floer homology / Symplectic Geometry / マスロフ指数 / テ-タ関数 / ヤンミルズ方程式 / A無限大カテゴリー / 非可換幾何学 / 鏡映対称性 / フレア-ホモロジー / 非可換トーラス / テータ関数 / 軌道体 / ハミルトン系 / 対応 / シンプレクティック幾何学 / ラグランジュ部分多様体 / 倉西写像 / 概正則曲線 / ホモトピー代数 / フレアーホモロジー / シンプレクティック幾何 / Painleve equation / KZB equation / Heisenberg algebra / degeneration of curves / modular functor / conformal filed theory / 量子コホモロジー群 / ヴィラソロ代数 / コンパクト化 / 平坦接続 / ピカール・フックス方程式 / 準安定曲線 / 無限自由度の可積分系 / パンルヴュ方程式 / KZB方程式 / ハイゼンベルク代数 / homoclinic orbits / moduli spaces / gauge groups / free loop groups / infinite dimensional Lie groups / 量子化 / homoclinic orbit / 無限次元リー群 / Elliptic genera / Hopf algebra / Formal group low / Modular-form / Elliptic curve / Homotopy theory / Elliptic cohomology / 楕円種数 / ホップ代数 / 楕円曲線 / ホモトピー論 / Lubin-Tate形式群 / 複素表現 / Hopf代数 / Morava K-理論 / 楕円コホモロジー論 / global analysis on graphs / category / lattice model / logarithmic geometry / toric geometry / analytic geometry / arithmetic geometry / algebraic geometry / 絡み目 / 結び目 / 特異点理論 / ヘッケ環 / 大域解析 / グラフ / 対数的幾何学 / グラフ上の大域解析 / 圏 / 格子模型 / 対数的幾何 / トーリック幾何 / 解析幾何 / 数論的幾何 / q-analog / arithmeticgeometry / pointed Riemannsurface / Calabi-Yaumanifold / conformalblock vector bundle / conformal field theory / 楕円曲面 / 共形場ブロック / 閉リーマン面 / ゲージ対称性 / 単純リイ代数 / リーマン面のモジュライ空間 / ベクトル束のモジュライ空間 / 弦理論 / q類似 / 点付きリーマン面 / 共形場ブロックベクトル束 / Mordell-Weil lattice / K3 surface / Calabi-Yau manifold / polarigation / Hamming code / 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 / Hodge理論 / Golay符号 / p-進一意化 / 多項式 / 正標数 / Mordell-Weil格子 / 偏極 / Hamming符号 / 符号 / vector bmdle / conformal field thery / Quantun homotopy type / Morse homotopy / Moise function / K-theor / free loop space / 代数ベクトル束 / Mose函数 / モジュライ室間 / 楕円コホモロジー / 自由ループ室間 / 共形場の理論 / 量子ホモトピー型 / モ-ス函数 / 自由ループ空間 / Teichmueller space / vector bundle / Calabi-Yau variety / Hodge theory / Shafarevich map / Fano variety / flip / Minimal model / 射影空間 / フェルリンデ公式 / 基本群 / 極小モデル理論 / タイヒミューラー空間 / カラビ・ヤオ多様体 / シャファレビッチ写像 / ファノ多様体 / フリップ / 極小モデル / excellent ring / Nagata ring / derived normal ring / factorial domain / universally catenaty / catenary / local ring / Noetherian ring / パラメ-タ-系 / (素)イデアル / 完備化(完備局所環) / ネタ-局所環 / 素イデアル / 完備局所環 / 解析的被約 / 整閉整域 / 強鎖状 / 鎖状 / ネター局所環 / エクセレント環 / 永田環 / 整閉包 / 素元分解整域 / 強鎖状(環) / 鎖状(環) / 局所環 / ネター環 / Lie group / Loop Group / Steenrod Operation / Hecke Operator / Homotopy group / K-Theory / Modular Forms / Elliptic Cohomology / 一般コホモロジ-論 / モジュラ-形式 / K理論 / コホモロジ-群 / ホワイトヘッド積 / ゲ-ジ群 / 自由ル-プ群 / ヘッケ作用素 / Kー理論 / ホモトピ-群 / 楕円コホモロジ-論 / Singularity / Period Mapping / Hodge Theory / Calabi-Yau Manifold / Vector Bundle / Algebraic Variety / Hodge(ホッヂ)理論 / 算術的代数多様体 / 3次元代数多様体 / 半群 / ア-ベル多様体 / 代数群 / CalabiーYou多様体 / 周期写像 / CalabiーYan多様体 / ヴィット概型 / 標準バンドル / ユークリッド環 / クンマー曲面 / 数論 / ベクトルバンドル / 対数スキーム / 小林・落合の定理 / 降下定理 / 剛性定理 / モジュライ / 藤田の近似定理 / 算術的極限予想 / 算術的体積関数 / 双有理アラケロフ幾何 / アラケロフ幾何 / 数論幾何 / エータ函数 / 種数 / 可解格子模型 / タイヒミュラー群 / C^nの局所解析同型の芽の位相亜群 / ユニタリ-表現 / bass order / 多元環のorder / P進群の表現 / 保型表現 / 放物的安定層 / 特性類 / 複素コボルディズム Less
  • Research Projects

    (33 results)
  • Research Products

    (2 results)
  • Co-Researchers

    (87 People)
  •  Diophantine geometry and moduli problems

    • Principal Investigator
      MORIWAKI Atsushi
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Complex symplectic varieties and derived categories

    • Principal Investigator
      NAMIKAWA Yoshinori
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
      Kyoto University
  •  Research on Application of Computer Algebra to Algebraic GeometryPrincipal Investigator

    • Principal Investigator
      MARUYAMA Masaki
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Geometry of integrable systems with infinite degrees of freedom and new development of moduli theory.

    • Principal Investigator
      UENO Kenji
    • Project Period (FY)
      2002 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Degeneration of algebraic varieties and log geometry

    • Principal Investigator
      KATO Kazuya
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  Moduli spaces and arithmetic geometry

    • Principal Investigator
      MORIWAKI Atushi
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  代数幾何学と計算機代数、符号理論Principal Investigator

    • Principal Investigator
      丸山 正樹
    • Project Period (FY)
      1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Study of Moduli and its ApplicationsPrincipal Investigator

    • Principal Investigator
      MARUYAMA Masaki
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A).
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  Classifying spaces of Categories, Flore Homology and Homotopsy Theory of Infinite Complexes

    • Principal Investigator
      KONO Akira
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  Integrable systems with infinite degrees of freedom

    • Principal Investigator
      UENO Kenji
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A).
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  Moduli space and infinite dimensional geometry

    • Principal Investigator
      FUKAYA Kenji
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A).
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  Study on elliptic cohomology theory

    • Principal Investigator
      NISHIDA Goro
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  Topology of manifolds and geometric structures

    • Principal Investigator
      KONO Akira
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for 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
  •  Studies on moduli spaces from the view point of mathematical physics

    • Principal Investigator
      UENO Kenji
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  Mathematics on manifolds

    • Principal Investigator
      ODA Tadao
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  代数多様体の退化とゼータ関数

    • Principal Investigator
      上野 健爾
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Algebraic and Geometric Study on the Structure of Moduli SpacesPrincipal Investigator

    • Principal Investigator
      MARUYAMA Masaki
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  Topologs of manifolds and mathematical plysics

    • Principal Investigator
      KONO Akira
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  数理物理学への応用を見込んだ代数幾何学の国際共同研究

    • Principal Investigator
      上野 健爾
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for Co-operative Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyoto 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
  •  Algebra and Geometry on Algebraic VarietiesPrincipal Investigator

    • Principal Investigator
      MARUYAMA Masaki
    • Project Period (FY)
      1992 – 1994
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      KYOTO UNIVERSITY
  •  代数群の不連続部分群の研究

    • Principal Investigator
      土方 弘明
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyoto University
  •  C^∞ー写像の空間のトポロジ-

    • Principal Investigator
      足立 正久
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyoto University
  •  Study of Noetherian Local Rings in Commutative Algebra

    • Principal Investigator
      NISHIMURA Jun-ichi
    • Project Period (FY)
      1991 – 1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      HOKKAIDO UNIVERSITY OF EDUCATION
      Kyoto University
  •  代数多様体および複素多様体の研究

    • Principal Investigator
      上野 健爾
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyoto University
  •  ベクトル束の理論とその応用Principal Investigator

    • Principal Investigator
      丸山 正樹
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyoto University
  •  Algebraic Theory of Manifolds

    • Principal Investigator
      MIYANISHI Masayoshi
    • Project Period (FY)
      1989 – 1991
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  Topological Study of K-Theory

    • Principal Investigator
      NISIDA Goro
    • Project Period (FY)
      1989 – 1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyoto University
  •  複素多様体の研究

    • Principal Investigator
      上野 健爾
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyoto University
  •  Research on automorphic forms

    • Principal Investigator
      YOSHIDA Hiroyuki
    • 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
      Kyoto University
  •  代数幾何学の研究

    • Principal Investigator
      永田 雅宜
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyoto University
  •  Commutative Algebra and Its Applications

    • Principal Investigator
      NAGATA Masayoshi
    • Project Period (FY)
      1986 – 1988
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyoto University

All 2004

All Book

  • [Book] 代数幾何学2004

    • Author(s)
      廣中平祐 著, 丸山正樹他編
    • Total Pages
      182
    • Publisher
      京都大学学術出版会
    • Data Source
      KAKENHI-PROJECT-15540024
  • [Book] 代数幾何学2004

    • Author(s)
      廣中平祐 講義, 森重文 記録, 丸山正樹, 森脇淳, 川口周 改訂・加筆・編集
    • Total Pages
      175
    • Publisher
      京都大学学術出版会
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540024
  • 1.  UENO Kenji (40011655)
    # of Collaborated Projects: 27 results
    # of Collaborated Products: 0 results
  • 2.  KONO Akira (00093237)
    # of Collaborated Projects: 11 results
    # of Collaborated Products: 0 results
  • 3.  YOSHIDA Hiroyuki (40108973)
    # of Collaborated Projects: 11 results
    # of Collaborated Products: 0 results
  • 4.  MORIWAKI Atsushi (70191062)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 1 results
  • 5.  NISIDA Goro (00027377)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 6.  HIJIKATA Hiroaki (00025298)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 7.  FUKAYA Kenji (30165261)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 8.  KATO Fumiharu (50294880)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 9.  SAITO Masahiko (80183044)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 10.  MIYANISHI Masayoshi (80025311)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 11.  MORI Shigefumi (00093328)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 12.  NAGATA Masayoshi (00025230)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 13.  NAKAJIMA Hiraku (00201666)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 14.  KATSURA Toshiyuki (40108444)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
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