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NAKAMURA Tetsuo  中村 哲男

ORCIDConnect your ORCID iD *help
… Alternative Names

中村 哲男  ナカムラ テツオ

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Researcher Number 90016147
External Links
Affiliation (based on the past Project Information) *help 2009 – 2010: Waseda University, 理工学術院, 教授
2008: Tohoku University, 大学院・理学研究科, 名誉教授
2006: Tohoku University, Graduate School of Science, Professor, 大学院理学研究科, 教授
2002 – 2005: Mathematical Institute of Tohoku University Professor, 大学院・理学研究科, 教授
1995 – 1999: 東北大学, 大学院・理学研究科, 教授 … More
1998: 東北大学, 大学院理学研究科, 教授
1994: 東北大学, 理学部, 教授
1991: 東北大学, 教養部, 教授
1986 – 1989: 東北大学, 教養部, 助教授 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra / 代数学・幾何学
Except Principal Investigator
Algebra / 代数学・幾何学 / 解析学 / General mathematics (including Probability theory/Statistical mathematics) / Geometry / Algebra
Keywords
Principal Investigator
アーベル多様体 / 楕円曲線 / 虚数乗法 / 類数 / 代数体 / アーベル曲面 / elliptic curve / complex multiplication / トーション / 整数点 … More / モルデル・ヴェイユ群 / Mordell-weil群 / 有理点 / 等分点 / 量指標 / テンソル圏 / 双対性 / 椿円曲線 / テンソル圈 / 数体 / 自己準同型 / abelian variety / torsion point / Hecke character / Duality / tensor category / 二次体 / ヒルベルト類体 / 虚2次体 / ガロア降下法 / Abelian variety / class number / quadratic field / 形式群 / ガロア表現 / 調和写像 / ラプラシアン / ガウス写像 / ホモトピー類 / リー変換群 … More
Except Principal Investigator
トーリック多様体 / 形式群 / 代数多様体 / アーベル多様体 / 幾何学的測度論 / 数論的幾何学 / 表現論 / 有理点 / チューブ領域 / K3曲面 / 不定方程式 / 密度定理 / 楕円曲線 / 概均質ベクトル空間 / 量子群 / 等長的変形 / ホモトピ- / 葉層構造 / 岩沢不変量 / 分類問題 / Pーdivisible群 / 虚数乗法 / ユニタリ群 / 保型形式 / Hankel operators / Toeplitz operators / class Y operators / Fuglede′s theorem / M-byponormal operators / dominaut operators / 整数論 / p進解析 / 複素有界領域 / 正則同値問題 / ジョーンズ指数 / ティープリッツ作用素 / ハンケル作用素 / 発展方程式 / 数学基礎論 / 2階算術 / 逆数学 / 超準的手法 / 部分多様体 / 剛性 / 極小曲面 / 交叉性定理 / 数論 / 久賀-佐武のアーベル多様体 / 定義イデアル / 射影的正規性 / ガウス写像 / 極小超曲面 / ラプラス作用素の第1固有値 / 調和写像の安定性 / 全測地的葉層構造 / 滑らかな2次元古典群の作用 / 等長変形 / ラプラス作用素 / 平均曲率 / ヤング / ミルズ場 / ゲージ理論 / 調和写像 / ヤコビ作用素 / 葉層 / 高さ / 代数曲面 / 整数点 / ALGEBRAIC VARIETY / RATIONAL POINTS / HEIGHT / K3 SURFACE / DIOPHANTINE EQUATION / ALGEBRAIC SURFACES / BELIAN VARIETY / 類数 / Q-曲線 / F-特異点 / 密着閉方 / 可積分系 / 代数群 / 既均質ベクトル空間 / キーワード6 / キーワード7 / キーワード8 / class number / density theorems / toric varieties / Q-curves / F-singularities / tight closure / elliptic curves / Mordell-Weil group / 代数的サイクル / モチーフ / フロベニウス写像 / 対数アーベル多様体 / test ideal / 密着閉包 / 対数的代数幾何 / Prehomogeneous vector spaces / Toric Variety / Algebraic cycles / Motif / Frobenius Less
  • Research Projects

    (18 results)
  • Research Products

    (16 results)
  • Co-Researchers

    (33 People)
  •  Complex multiplication of elliptic curves and abelian varietiesPrincipal Investigator

    • Principal Investigator
      NAKAMURA Tetsuo
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Number Theoretic Study of Elliptic CurvesPrincipal Investigator

    • Principal Investigator
      NAKAMURA Tetsuo
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Number Theory and Geometry related to Algebraic Groups

    • Principal Investigator
      YUKIE Akihiko
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Number Theory and Geometry related to Algebraic Groups

    • Principal Investigator
      YUKIE Akihiko
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  STUDY OF THE HEIGHTS AND THE DISTRIBUTION OF RATIONAL POINTS ON ALGEBRAIC VARIETIES

    • Principal Investigator
      MORITA Yasuo
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      TOHOKU UNIVERSITY
  •  Arithmetic of Abelian VarietiesPrincipal Investigator

    • Principal Investigator
      NAKAMURA Tetsuo
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      TOHOKU UNIVERSITY
  •  部分多様体の剛性の研究

    • Principal Investigator
      剱持 勝衛
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  代数多様体の数論の研究

    • Principal Investigator
      森田 康夫
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  トーリック多様体とその部分多様体の研究

    • Principal Investigator
      尾形 庄悦
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  代数多様体の整数論的研究

    • Principal Investigator
      MORITA Yasuo
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  複測度有界領域の幾何

    • Principal Investigator
      清水 悟
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  算術の部分体系とそのモデルについての研究

    • Principal Investigator
      TANAKA Kazuyuki
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tohoku University
  •  関数空間上の線形作用素の代数学的研究

    • Principal Investigator
      吉野 崇
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  絶対ガロア群の構造

    • Principal Investigator
      内田 興二
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  多様体の構造の研究と整数論への応用

    • Principal Investigator
      今井 秀雄
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  可微分多様体の研究

    • Principal Investigator
      高木 斉
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  代数多様体の整数論的研究Principal Investigator

    • Principal Investigator
      中村 哲男
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  可微分多様体の研究

    • Principal Investigator
      和田 秀三
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University

All 2010 2008 2007 2004 Other

All Journal Article Presentation

  • [Journal Article] Torsion points on some abelian surfaces of CM-type2010

    • Author(s)
      Tetsuo Nakamura
    • Journal Title

      Journal of Number Theory 130(4)

      Pages: 1061-1067

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540004
  • [Journal Article] Torsion points on some abelian surfaces of CM-type2010

    • Author(s)
      T.Nakamura
    • Journal Title

      J.Number Theory Vol 130

      Pages: 1061-1067

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540004
  • [Journal Article] Torsion on elliptic curves in isogeny classes2007

    • Author(s)
      Y.Fujita, T.Nakamura
    • Journal Title

      Transactions of American Math. Soc. (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540006
  • [Journal Article] A classification of Q-curves with complex multiplication2004

    • Author(s)
      T.Nakamura
    • Journal Title

      Journal Math. Soc. Japan 56

      Pages: 635-648

    • NAID

      10013123220

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540006
  • [Journal Article] A classification of Q-curves with complex multiplication2004

    • Author(s)
      Tetsuo Nakamura
    • Journal Title

      Journal of Mathematical Society of Japan 56

      Pages: 379-385

    • NAID

      10013123220

    • Data Source
      KAKENHI-PROJECT-16540006
  • [Journal Article] 有理数体上の特異アーベル曲面について2004

    • Author(s)
      中村哲男
    • Journal Title

      早稲田大学整数論研究会報告集

      Pages: 63-68

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540006
  • [Journal Article] A classification of Q-curves with complex multiplication2004

    • Author(s)
      T.Nakamura
    • Journal Title

      Journal of Mathematical Society of Japan 56

      Pages: 635-648

    • NAID

      10013123220

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540006
  • [Journal Article] Elliptic Q-curves with complex multiplication2004

    • Author(s)
      Tetsuo Nakamura
    • Journal Title

      Progress in Mathematics 224

      Pages: 181-187

    • Data Source
      KAKENHI-PROJECT-16540006
  • [Journal Article] 有理数体上の特異アーベル曲面について2004

    • Author(s)
      中村 哲男
    • Journal Title

      早稲田大学整数論研究集会2004報告集

      Pages: 63-68

    • Data Source
      KAKENHI-PROJECT-16540006
  • [Journal Article] Elliptic Q-curves with complex multiplication2004

    • Author(s)
      T.Nakamura
    • Journal Title

      Progress of Mathematics 224

      Pages: 181-187

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540006
  • [Journal Article] Torsion of elliptic curves in isogeny classes,

    • Author(s)
      Y.Fujita, T.Nakamura
    • Journal Title

      Trans. Amer. Math. Soc. (To appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340001
  • [Journal Article] Torsion on elliptic curves in isogeny classes

    • Author(s)
      Y.Fujita, T.Nakamura
    • Journal Title

      Transactions AMS 印刷中

    • Data Source
      KAKENHI-PROJECT-16540006
  • [Journal Article] Torsion of elliptic curves in isogeny classes.

    • Author(s)
      Y.Fujita, T.Nakamura
    • Journal Title

      Trans.Amer.Math.Soc. (To appear)

    • Data Source
      KAKENHI-PROJECT-15340001
  • [Journal Article] Torsion on elliptic curves in isogeny classes

    • Author(s)
      Yasutsugu Fujita, Tetsuo Nakamura
    • Journal Title

      Transaction of American Math.Soc. (未定)(accepted in Nov.2005)

    • Data Source
      KAKENHI-PROJECT-16540006
  • [Journal Article] Torsion of elliptic curves in isogeny classes.

    • Author(s)
      Y.Fujita, T.Nakamura
    • Journal Title

      Trans.Amer.Math.Soc. (To appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340001
  • [Presentation] 有理数体上の特異アーベル曲面のトーションについて2008

    • Author(s)
      中村哲男
    • Organizer
      早稲田大学整数論セミナー
    • Place of Presentation
      早稲田大学大久保キャンパス
    • Year and Date
      2008-06-06
    • Data Source
      KAKENHI-PROJECT-20540004
  • 1.  剱持 勝衛 (60004404)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 2.  OGATA Syoetsu (90177113)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 3.  内田 興二 (20004294)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 4.  長沢 壮之 (70202223)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 5.  ISHIDA Masanori (30124548)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  YAMAGAMI Shigeru (90175654)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 7.  高木 斉 (90018581)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  MORITA Yasuo (20011653)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 9.  SATO Atsusi (30241516)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 10.  押切 源一 (70133931)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  TAKAHASHI Toyofumi (20004400)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  吉野 崇 (50005774)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  ODA Tadao (60022555)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 14.  清水 悟 (90178971)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 15.  TANAKA Kazuyuki (70188291)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 16.  今井 秀雄 (10093668)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  浦川 肇 (50022679)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  YUKIE Akihiko (20312548)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  HARA Nobuo (90298167)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  陶山 芳彦 (70028223)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  渡部 隆夫 (30201198)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  板東 重稔 (40165064)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  堀田 良之 (70028190)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  高木 泉 (40154744)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  TERAI Nobuhiro (00236978)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  和田 秀三 (80005701)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  岩田 恒一 (60005741)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  SAITO Takeshi (70201506)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  志甫 淳 (30292204)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  長谷川 浩司 (30208483)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  HANAMURA Masaki (60189587)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  梶原 健 (00250663)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  麻生 透 (00111352)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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