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KOMATSU Gen  小松 玄

ORCIDConnect your ORCID iD *help
Researcher Number 60108446
Other IDs
Affiliation (based on the past Project Information) *help 2007 – 2010: 大阪大学, 大学院・理学研究科, 准教授
2005 – 2006: 大阪大学, 大学院理学研究科, 助教授
2002 – 2005: Osaka University, Graduate School of Science, Associate Professor, 大学院・理学研究科, 助教授
2001: 東京大学, 大学院・理学研究科, 助教授
1996 – 2000: Osaka University, Graduate School of Science, Associate Professor, 大学院・理学研究科, 助教授
1986 – 1995: 大阪大学, 理学部, 助教授
Review Section/Research Field
Principal Investigator
解析学
Except Principal Investigator
解析学 / Basic analysis / Basic analysis / Geometry / Geometry / Global analysis / 代数学・幾何学 / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
ベルグマン核 / 強擬凸領域 / 漸近展開 / 再生核 / 特異性 / 強擬似凸領域 / ゼゲ-核 / 普遍定数 / モーザーの漂準形 / ワイル不変量 … More / CR不変量 / 複素モンジュ-アンペール境界値問題 / ゼゲー核 / 境界挙動 / ゼゲ-核函数 / ベルグマン核函数 … More
Except Principal Investigator
ベルグマン核 / 放物型不変式論 / Bergman kernel / アインシュタイン計量 / CR幾何 / 漸近安定性 / 調和写像 / obstruction / test configuration / balanced metric / extremal metric / constant scalar curvature / 漸近的ベルグマン核 / Chow計量 / Zhangの臨界計量 / 定スカラー曲率 / Kahler-Einstein計量 / 安定性 / Hitchin-Kobayashi対応 / CR geometry / strictly pseudoconvex domain / 強擬凸領域 / Nevanlinna theory / martingale / diffusion process / minimal surface / harmonic map / Brownian motion / subharmonic function / 極小曲面 / 漸近展開 / ゼータ関数 / 散乱理論 / セゲー核 / 共形幾何 / ブラウン運動 / 散乱行列 / Duffing方程式 / 希薄波 / 非線型偏微分方程式 / S行列 / 多体問題 / シンプレクティック幾何学 / リッチ曲率 / 多様体 / poles of scattering matrix / decay of wave motions / observability semigroup / controllability / evolution operator / parabolic equation / time delay / 解の減衰 / 漸近行動 / 比重付楕円型評価 / 初期境界値問題 / ヴォルテラ型積分微分方程式 / ハミルトン作用素 / 散乱行列の極 / 波動の減衰 / 半群 / 可観測性 / 可制御性 / 基本解 / 放物型方程式 / 時間的おくれ / degeneration / stability / geometry / Extremal metric / 射影kahler多様体 / extremal Kahle計量 / Caltin-Lu-Tian-Zelditch / Hilbert-Mumford漸近安定性 / Chow-Mumford漸近安定性 / 存在問題 / 偏極代数多様体 / extremal-Kahler計算 / Hilbert-mumford安定性 / Chow-mumford安定性 / 定スカラー曲率ケーラー計量 / Test configuration / 退化 / 幾何学 / conformal geometry / Parabolic invariant theory / Asymptotic Bergman Kernel / Chow metric / Zhang's critical matric / Extremal Kahler metric / Kahler-Einstein metric / Stability / Hitchin-Kobayashi correspondence / Zhang / kahler-Einstein計量 / Bando-Calabi-Futaki指標 / Zhnng / Extremal-Kahler計量 / Extremal Kahler計量 / anomaly / parabolic invariant theory / アノマリー / 放物型不変式 / index theorem / CR invariant / Parabolic Tnvaviant theory / Bevgman Kevuel / グラウエルト柱状領域 / 指数定理 / CR不変量 / ディリクレ空間 / 準線形楕円形作用素 / P-調和写像 / 最大値原理 / Brown運動 / 値分布論 / 劣調和関数 / Nevarlinna theory / stochastic oscillatory integral / stochastic analysis / Wiener space / ウィナー空間 / 確率振動積分 / 確率解析 / ウィーナー空間 / Riemann surface / Class fields / Automorphic function / Taniyama-Shumura conjecture / Elliptic curve / Limit-formula / Computer algbra / 等分方程式 / 加法公式 / ヤコビ多様体 / 虚数乗法 / 二次体の類数 / 複素関数の表示法 / 実験数学 / レ-マン面 / 類体の構成 / 保型関数 / 谷山-志村予想 / 楕円曲線 / 極限公式 / 数式処理 / Groebner bases / Einstein metric / moduli space / Kahler manifold / Eells-Sampson's equation / semi-stablity / n-end catenoids / CR構造 / ツイスター空間 / extremal kahler計量 / 超ケーラー多様体 / 渦糸の方程式 / 半線型波動方程式 / 平均曲率 / スカラー曲率 / アインシュタイン / コンパクト・ケーラー / 山辺不変量 / 幾何学的不変量 / グレブナ-基底 / モジュライ空間 / ケーラー多様体 / Eells-Sampson方程式 / 準安定性 / n端懸垂面 / Manifold / Spectrum / Laplacian / Zeta Function / Quantum Mechanics / Scattering Theory / Wave Equation / Hyperbolic Equation / 幾何光学 / エルゴ-ド性 / ゼ-タ関数 / 特異性の伝播 / スペクトル / ラプラシアン / ゼ-タ-関数 / 量子力学 / 波動方程式 / 双曲型方程式 / 閉測地線 / 形式的力学系 / エルゴード理論 / modified Lax and Phillips conjecture / 極 / オイラー方程式 / 量子ドリフト-拡散方程式 / 消散型波動方程式 / 粘性保存則 / 量子流体力学モデル / 半導体 / 接触不連続解 / 漸近安定 / フォッカー・プランク・ボルツマン方程式 / ドリフト拡散モデル / 大自由度カオス / 粘性衝撃波 / 粘性保存則系 / 解の存在と一意性 / 大自由度力学系 / 定常解 / 半導体の程式 / 漸近挙動 / 接触不連続 / 半導体方程式 / ナヴィエ・ストークス方程式 / 長時間挙動 / 時間大域解 / 保存則 / 接触構造 / シンプレクティック構造 / 可解多様体 / 放物型幾何学 / 積分不変量 / ケーラー計量 / Q-曲率 / アンビエント計量 / 放物型幾何 / 複素幾何学 / スタイン多様体 / 位相群 / 双正則同値 / 正則自己同型群 / 粘性流体 / ソリトン / 箱玉系 / Macdonald多項式 / 量子群 / 超幾何函数 / 一般化超幾何微分方程式 / Bethe仮説 / 可解格子模型 / 一般超幾何微分方程式 / 可積分系 / Airy型微分方程式 / Schrodinger作用素 / Kummerの合流型微分方程式 / 倍周期分岐 / 圧縮性粘性気体 / 振動定理 / 大域的分岐 / 対称性破壊 / 解の対称性 / 完全爆発 / 解の爆発 / 非線形楕円型方程式 / 非線形放物型方程式 / Schrodinger方程式 / 周期解分岐 / 進行波 / Burgers方程式 / 粘性的保存則 / 逆問題 / 擬微分作用素 / 超局所解析 / 放射条件 / シュレ-ディンガー作用素 / toric非特異射影多様体 / Q構造 / モーメント写像 / 時間周期解 / 希薄波解 / 進行波解 / 粘弾性体の方程式系 / 粘性的一次元保存則 / アルバネーゼトーラス / 調和関数 / 熱核 / コンパクト化 / スペクトル幾何 / リーマン多様体 / 特異点 / シコレ-ヂィンガ-作用素 / 変換群 / ス-パ-微分方程式系 / スピン表現 / リ-マン多様体 / ケ-ラ-・アインスタイン計量 Less
  • Research Projects

    (29 results)
  • Research Products

    (11 results)
  • Co-Researchers

    (80 People)
  •  Time global structure of solutions of nonlinear conservation law with viscosity and relaxation

    • Principal Investigator
      MATSUMURA Akitaka
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Osaka University
  •  Study of complex analysis from a point of view of parabolic geometry

    • Principal Investigator
      HIRACHI Kengo
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  可解多様体の諸構造の研究

    • Principal Investigator
      坂根 由昌
    • Project Period (FY)
      2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  A study of commutative rings of differential operators in completely integrable models and their eigenfunctions

    • Principal Investigator
      DATE Etsuro
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Osaka University
  •  A characterization of a complex manifold admitting an action of the direct product of unitary groups by holomorphic automorphisms

    • Principal Investigator
      KODAMA Akio
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kanazawa University
  •  Existence Problem of Fxtremal Metran and Degeneration of Balanced Metrics

    • Principal Investigator
      MABUCHI Toshiki
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Bergman zeta function and index theorems of complex domains

    • Principal Investigator
      HIRACHI Kengo
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  The Hitchin-Kobayashi correspondence for Manifolds

    • Principal Investigator
      MABUTCHI Toshiki
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Asymptotic expansion of the Bergman kernel and CR gauge invariants

    • Principal Investigator
      HIRACHI Kengo
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  Asymptotic estimates of oscillatory integrals on abstract Wiener space

    • Principal Investigator
      MANABE Shojiro
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  Stochastic analysis of sub harmonic functions and its application to value distribution theory

    • Principal Investigator
      ATSUJI Atsushi
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  Invariant theory of the Bergman kernel and index theorems.

    • Principal Investigator
      HIRACHI Kengo
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  非線形偏微分方程式論における実解析的方法

    • Principal Investigator
      鈴木 貴
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  流体を記述する非線型偏微分方程式系の数学解析

    • Principal Investigator
      松村 昭孝
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  Experimental Method of Mathematics

    • Principal Investigator
      YAMAMOTO Yoshihiko
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  再生核の漸近解析Principal Investigator

    • Principal Investigator
      小松 玄
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  Research on geometric invariants and moduli spaces

    • Principal Investigator
      SAKANE Yusuke
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  モーメント写像のQ構造

    • Principal Investigator
      MABUCHI Toshiki
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Osaka University
  •  シュレ-ディンガー作用素のスペクトル理論

    • Principal Investigator
      磯崎 洋
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  流体を記述する非線型偏微分方程式系の数学解析

    • Principal Investigator
      松村 昭孝
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  非線型偏微分方程式系の時間大域解の構造

    • Principal Investigator
      MATSUMURA Akitaka
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  強擬凸領域における再生核の族の漸近解析Principal Investigator

    • Principal Investigator
      小松 玄
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  リーマン多様体の崩壊理論とスペクトル幾何

    • Principal Investigator
      加須栄 篤
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  多体シュレ-ヂィンガ-作用素の研究

    • Principal Investigator
      磯崎 洋
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  多変数函数論に現れる再生核の不変式論Principal Investigator

    • Principal Investigator
      小松 玄
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  Hyperbolic equations and its applications

    • Principal Investigator
      IKAWA Mitsuru
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  多様体の多面的研究

    • Principal Investigator
      村上 信吾
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  双曲型方程式に対する散乱理論

    • Principal Investigator
      井川 満
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  Problems on Partial Differential Equations

    • Principal Investigator
      TANABE Hiraki
    • Project Period (FY)
      1986 – 1987
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Osaka University

All 2008 2007 2006 2005

All Journal Article Presentation

  • [Journal Article] Asymptotic expansion of the Bergman kernel-elementary application of the invariant theory2008

    • Author(s)
      小松 玄
    • Journal Title

      Complex Analysis and its Applications, OCAMI Studies 2

      Pages: 43-63

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340046
  • [Journal Article] Asymptotic expansion of the Bergman kernel-elementary application of the invariant theory, Complex analysis and its Applications2008

    • Author(s)
      Gen Komatsu
    • Journal Title

      Proc. 15^<th> ICFIDCAA Osaka 2007 OKAMI Studies vol.2

      Pages: 43-63

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340046
  • [Journal Article] Asymptotic expansion of the Bergman kernel---elementary application of the invariant theory, Complex Analysis and its Applications2008

    • Author(s)
      G. Komatsu
    • Journal Title

      Proceedings of the 15th ICFIDCAA Osaka 2007 OCAMI Studies Volume 2

      Pages: 43-63

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540153
  • [Presentation] 中澤の微分方程式について2008

    • Author(s)
      小松 玄
    • Organizer
      森本徹先生御退官記念研究集会
    • Place of Presentation
      奈良女子大学
    • Year and Date
      2008-03-18
    • Data Source
      KAKENHI-PROJECT-17540153
  • [Presentation] Asymptotic expansion of the Bergman kernel--elementary appli-cation of the invariant theory2007

    • Author(s)
      G. Komatsu
    • Organizer
      plenary talk at The 15th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications
    • Place of Presentation
      Osaka City University
    • Year and Date
      2007-08-01
    • Data Source
      KAKENHI-PROJECT-17540153
  • [Presentation] Asymptotic expansion of the Bergman kernel-elementary application of the invariant theory2007

    • Author(s)
      小松 玄
    • Organizer
      The 15th international Conference on Finite or Infinite Dimensional Complex Analysis and Application
    • Place of Presentation
      大阪市立大学 学術総合センター
    • Year and Date
      2007-08-01
    • Data Source
      KAKENHI-PROJECT-17340046
  • [Presentation] Tian-Catlin-Zelditchによるベルグマン核の漸近展開(overview)2006

    • Author(s)
      小松 玄
    • Organizer
      多変数関数論唐津研究集会(仮題)
    • Place of Presentation
      佐賀県唐津の虹ノ松原ホテル(国民宿舎)
    • Year and Date
      2006-02-19
    • Data Source
      KAKENHI-PROJECT-17540153
  • [Presentation] 聞いておきたかったこと, 研究集会2006

    • Author(s)
      小松 玄
    • Organizer
      分析から総合へ-新しい数学の可能性
    • Place of Presentation
      仙台国際センター
    • Year and Date
      2006-09-30
    • Data Source
      KAKENHI-PROJECT-17540153
  • [Presentation] 多変数函数論に現れるアダマール変分2005

    • Author(s)
      小松 玄
    • Organizer
      大阪大学微分幾何研究会(坂根先生還暦記念)
    • Place of Presentation
      千里ライフサイエンスセンター
    • Year and Date
      2005-12-15
    • Data Source
      KAKENHI-PROJECT-17540153
  • [Presentation] Hadamard's variations in several complex variables, Complex Analysis2005

    • Author(s)
      Gen Komatsu
    • Organizer
      Differential Geometry and Partial Differential Equations(Conference in Honor of the 80^<th> Birthday of Masatake Kuranishi)
    • Place of Presentation
      Columbia大学数学教室
    • Year and Date
      2005-05-03
    • Data Source
      KAKENHI-PROJECT-17340046
  • [Presentation] Hadamard's variations in several complex variables, Complex Ana-lysis, Differential Geometry and Partial Differential Equations2005

    • Author(s)
      G. Komatsu
    • Organizer
      Conference in Honor of the 80^<th> Birthday of Masatake Kuranishi
    • Place of Presentation
      Department of Mathematics, Columbia University
    • Year and Date
      2005-05-02
    • Data Source
      KAKENHI-PROJECT-17540153
  • 1.  MATSUMURA Akitaka (60115938)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 2.  TANABE Hiroki (70028083)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 3.  IKAWA Mitsuru (80028191)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 4.  HIRACHI Kengo (60218790)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 5.  磯崎 洋 (90111913)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  KASUE Atsushi (40152657)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 7.  IKEDA Nobuyuki (00028078)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 8.  OHYAMA Yohsuke (10221839)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 9.  MABUCHI Toshiki (80116102)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 10.  SAKANE Yusuke (00089872)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 11.  NAGATOMO Kiyokazu (90172543)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 12.  KOTANI Shinichi (10025463)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  KAWANAKA Noriaki (10028219)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 14.  小磯 深幸 (10178189)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 15.  ATSUJI Atsushi (00221044)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 16.  DATE Etsuro (00107062)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 17.  TAKEGOSHI Kensho (20188171)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 18.  川中子 正 (20214661)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 19.  TSUJISHITA Tooru (10107063)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
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  • 80.  ROBIN Graham
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