NAKAMURA Tetsuo 中村哲男

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

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

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4. 長沢壮之 (70202223)

# of Collaborated Projects: 5 results

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5. ISHIDA Masanori (30124548)

# of Collaborated Projects: 5 results

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6. YAMAGAMI Shigeru (90175654)

# of Collaborated Projects: 4 results

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7. 高木斉 (90018581)

# of Collaborated Projects: 4 results

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8. MORITA Yasuo (20011653)

# of Collaborated Projects: 4 results

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9. SATO Atsusi (30241516)

# of Collaborated Projects: 4 results

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10. 押切源一 (70133931)

# of Collaborated Projects: 3 results

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11. TAKAHASHI Toyofumi (20004400)

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12. 吉野崇 (50005774)

# of Collaborated Projects: 3 results

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13. ODA Tadao (60022555)

# of Collaborated Projects: 3 results

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14. 清水悟 (90178971)

# of Collaborated Projects: 3 results

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15. TANAKA Kazuyuki (70188291)

# of Collaborated Projects: 3 results

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16. 今井秀雄 (10093668)

# of Collaborated Projects: 2 results

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17. 浦川肇 (50022679)

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18. YUKIE Akihiko (20312548)

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19. HARA Nobuo (90298167)

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20. 陶山芳彦 (70028223)

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21. 渡部隆夫 (30201198)

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22. 板東重稔 (40165064)

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23. 堀田良之 (70028190)

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24. 高木泉 (40154744)

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25. TERAI Nobuhiro (00236978)

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26. 和田秀三 (80005701)

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27. 岩田恒一 (60005741)

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28. SAITO Takeshi (70201506)

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29. 志甫淳 (30292204)

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30. 長谷川浩司 (30208483)

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31. HANAMURA Masaki (60189587)

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32. 梶原健 (00250663)

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33. 麻生透 (00111352)

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NAKAMURA Tetsuo 中村 哲男

中村 哲男 ナカムラ テツオ

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Complex multiplication of elliptic curves and abelian varietiesPrincipal Investigator

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Number Theoretic Study of Elliptic CurvesPrincipal Investigator

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Arithmetic of Abelian VarietiesPrincipal Investigator

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NAKAMURA Tetsuo 中村哲男

中村哲男ナカムラテツオ