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TAKEUCHI Kisao  竹内 喜佐雄

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… Alternative Names

竹内 喜佐雄  タケウチ キサオ

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Researcher Number 00011560
Other IDs
Affiliation (based on the past Project Information) *help 1994 – 2005: 埼玉大学, 理学部, 教授
1994: 埼玉大学, 教授
1991: 埼玉大学, 理学部数学, 教授
1988 – 1990: 埼玉大学, 理学部, 教授
Review Section/Research Field
Principal Investigator
代数学・幾何学 / Algebra
Except Principal Investigator
Algebra / Geometry / 代数学・幾何学 / Algebra / 解析学
Keywords
Principal Investigator
数論的不連続群 / 数論的代数曲面 / 複素射影空間 / ヤコビ形式 / ドラ-ムの定理 / 特異点 / 線型MHD作用素 / 数論 / 不連続群 / 代数体 … More / 判別式 / Number theory / Discontinuous group / Algebraic number field / Discriminant … More
Except Principal Investigator
特異点 / 代数曲面 / 平面曲線 / ゼータ関数 / 葉層構造 / 巡回被覆 / クレモナ変換 / 有理関数 / plane curve / Leibniz algebra / Leibniz cohomology / 代数多様体 / K3曲面 / 概均質(prehomogeneouo) / 超局所(microlral) / モジュライ / 付値 / 指数定理 / スピン構造 / Dirac作用素 / Spin^q構造 / twistor構造 / エータ不変量 / 断熱極限 / シンプレクティック構造 / quarternionic symplectic / twistor space / η-invariant / Schouten bracket / generalized divergence / addiabatic limit / spin^q structure / Dirac operator / 複数射影空間 / 実部分多様体 / 特性類 / 正規曲面 / 有理突点曲線 / MHD-作用素 / 射影空間 / ベッチ数 / モジュラー群 / 多様体 / 葉層 / Bellman方程式 / 4元数 / 量子束 / 概接触構造 / cyclic covering / Betti number / algebraic surface / singularities / projective space / modular group / monifold / foliation / 総ミルナー数 / 有理曲線 / 尖点 / 2次変換 / 重複度列 / 環と体 / 特異点解消 / 重複度 / 変形 / 有理尖点曲線 / rational curve / cuspidal curve / multiplicity sequence / quadratic transformation / place at infinity / projective equivalence / maximal multiplicity / Nambu-Possin多様体 / 中心拡大 / 特異葉層構造 / パフ系 / Nambu-Poisson多様体 / ポアソン多様体 / ヤコビ多様体 / Nambu-Jacobi多様体 / Fundamental Identity / 南部多様体 / ポアソン・ブラケット / 南部・ヤコビブラケット / Nambu-Poisson manifold / central extension / singular foilation / Pfaff system / フロベニウス置換 / 有限体 / 楕円曲線 / 位数計算 / 非アルキメデス的局所体 / フロベニウス写像 / 有理点 / 局所体 / 標準持ち上げ / 楕円曲線暗号 / アルゴリズム / the Frobenius substitutions / finite fields / elliptic curves / order counting / ゴナリティ / 対数的小平次元 / singularity / gonality / Cremona transformation / モジュラ形式 / ジーゲルモジュラ形式 / ヤコビ形式 / 半整数の重さのモジュラ形式 / マース空間 / ヒルベルトモジュラ形式 / modular forms of half integral weight / zeta function / Jacobi form / modular forms / Maass wave form Less
  • Research Projects

    (14 results)
  • Research Products

    (4 results)
  • Co-Researchers

    (27 People)
  •  Arithmetic study of Fourier coefficients of modular forms of half integral weight and Siegel modular forms

    • Principal Investigator
      KOJIMA Hisashi
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      SAITAMA UNIVERSITY
  •  Geometry of plane algebraic curves

    • Principal Investigator
      SAKAI Fumio
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saitama University
  •  Study on the arithmetic discontinuous groupsPrincipal Investigator

    • Principal Investigator
      TAKEUCHI Kisao
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saitama University
  •  Number theory for positive characteristics and its application to elliptic curve cryptography

    • Principal Investigator
      SATOH Takakazu
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saitama University
  •  Global Research of Geometry related with Poisson and Contact Manifolds.

    • Principal Investigator
      MIZUTANI Tadayoshi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Algebraic Geometry of Plane Curves

    • Principal Investigator
      SAKAI Fumio
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Algebra
    • Research Institution
      Saitama University
  •  多様体における種々の大域的構造の研究

    • Principal Investigator
      水谷 忠良
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  On Birational Geometry of Algebraic Varieties

    • Principal Investigator
      SAKAI Fumio
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Saitama University
  •  代数多様体の分類

    • Principal Investigator
      酒井 文雄
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saitama University
  •  多様体の大域的構造の研究

    • Principal Investigator
      長瀬 正義
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  概均質空間の構造の研究とその応用

    • Principal Investigator
      矢野 環
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Saitama University
  •  代数多様体の構造

    • Principal Investigator
      SAKAI Fumio
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Saitama University
  •  数論的不連続群の研究Principal Investigator

    • Principal Investigator
      竹内 喜佐雄
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Saitama University
  •  多様体の総合的研究

    • Principal Investigator
      奥村 正文
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Saitama University

All Other

All Journal Article

  • [Journal Article] Arithmetic Fuchsian groups

    • Author(s)
      K.Takeuchi
    • Journal Title

      (preprint)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540008
  • [Journal Article] Imprimitive totally real algebraic number field of degree 10 with minimum discriminant

    • Author(s)
      K.Takeuchi
    • Journal Title

      (preprint)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540008
  • [Journal Article] Arithmetic Fuchsian groups

    • Author(s)
      K.TAKEUCHI
    • Journal Title

      preprint

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540008
  • [Journal Article] Imprimitive totally real algebraic number fields of degree 10 with minimum discriminant

    • Author(s)
      K.TAKEUCHI
    • Journal Title

      preprint

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540008
  • 1.  OKUMURA Masafumi (60016053)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 2.  SAKAI Fumio (40036596)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 3.  NAGASE Masayoshi (30175509)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 4.  MIZUTANI Tadayoshi (20080492)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 5.  SATOH Takakazu (70215797)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  YANO Tamaki (10111410)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 7.  辻岡 邦夫 (30012412)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  FUKUI Toshizumi (90218892)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  EBIHARA Madoka (80213578)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  SAKAMOTO Kunio (70089829)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  加古 孝 (30012488)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  金銅 誠之 (50186847)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  KOIKE Shigeaki (90205295)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  GON Yasuro (30302508)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  ARAI Michio (40008850)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  KOJIMA Hisashi (90146118)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  KISHIMOTO Takashi (20372576)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  佐藤 祐吉 (80008812)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  柴田 勝征 (50028213)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  木村 真琴 (30186332)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  EGASHIRA Shinji (00261876)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  YANAI Hisae (10008865)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  押切 源一 (70133931)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  川田 浩一 (70271830)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  沼田 稔 (50028255)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  小宮山 晴夫 (90042762)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  宮井 秋男 (70003960)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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