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

    (33 results)
  • Research Products

    (2 results)
  • Co-Researchers

    (86 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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  • 86.  JANOS Kollar
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