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Tsuchimoto Yoshifumi  土基 善文

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TSUCHIMOTO Yoshifumi  土基 善文

土基 善文  ツチモト ヨシフミ

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Researcher Number 10271090
Other IDs
Affiliation (Current) 2022: 高知大学, 教育研究部自然科学系理工学部門, 教授
Affiliation (based on the past Project Information) *help 2015 – 2016: 高知大学, 教育研究部自然科学系理学部門, 准教授
2012 – 2014: 高知大学, 教育研究部自然科学系, 准教授
2009 – 2011: Kochi University, 教育研究部・自然科学系, 准教授
2008: Kochi University, 教育研究部自然科学系, 准教授
2007 – 2008: Kochi University, Faculty of Science, Associated Professor … More
2006: 高知大学, 理学部, 助教授
2005: 高知大学, 理学部, 助手
2002 – 2003: 高知大学, 理学部, 助手
1999 – 2000: 高知大学, 理学部, 助手
1995 – 1996: 高知大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra
Except Principal Investigator
Algebra / Algebra
Keywords
Principal Investigator
非可換幾何学 / 非可換代数幾何学 / Dixmier予想 / 超代数 / 非可換多様体 / 射影幾何学 / 射影的加群 / Jacobian問題 / 反射的加群 / Jacobian予想 … More / シンプレクティック構造 / Moyal積 / Dixmier問題 / dixmier予想 / 非可換環論 / ワイル環 / ジャコビアン問題 / 非可換代数多様体 / 非可換射影多様体 / ドルボー複体 / Deligne-Illusie 理論 / 非可換ケーラー多様体 / ケーラー多様体 / 射影多様体 / 力学系 / 有限体 / ゼータ関数 / Jacobian 問題 / Dixmier 予想 / 多項式力学系 / 不分岐拡大 / ヤコビアン問題 / p曲率 / 代数多様体 / 偏極多様体 / デルタ種数 / 算術種数 / 代数多根体 / デルタ極数 / Jacobian / 単純拡大 / conductor / Dixmire予想 / Weyl代数の自己準同型 / Weyl代数の中心 / Sympletic構造 / unramified extension / Jacobian problem / Dixmier conjecture / p-curvature / algebraic variet / polarized variety / delta genus / arithmetic genus … More
Except Principal Investigator
Zariski pair / SL_2(Z) / 合同部分群 / Schreierの方法 / 協力型Dynkin問題 / パレート問題 / スカラー化 / マルチンゲ-ル / コア / 安定性条件 / 特異点 / 導来圏 / ミラー対称性 / ダイマー模型 / 代数幾何学 / モジュライ空間 / 特異点解消 / 非可換クレパント解消 / dimer / quiver / toric varity / cepant resolution / derived category / Galois被覆 / 線型表現 / (2,3)torus曲線 / 双対曲線 / 楕円曲線 / 楕円曲面 / 格子 / 交点数 / Fiber sum / Galois cover / Linear representaion / (2, 3) torus curves / dual curves / elliptic surface / elliptic curve / lattices / 偏極多様体 / 断面不変量 / 断面幾何種数 / 随伴直線束 / 飯高-小平次元 / 標準因子 / 豊富な因子 / 随伴束 / 断面Euler数 / 断面Betti数 / 第iΔ-種数 / 断面H-算術種数 / nef / polarized variety / sectional invariants / sectional geometric genus / adioint line bundle / Iitaka-Kodaira dimension / canonical divisor Less
  • Research Projects

    (8 results)
  • Research Products

    (22 results)
  • Co-Researchers

    (22 People)
  •  global problems on non-commutative algebraic geometryPrincipal Investigator

    • Principal Investigator
      Tsuchimoto Yoshifumi
    • Project Period (FY)
      2012 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kochi University
  •  Studies on global problems on non commutative algebraic geometryPrincipal Investigator

    • Principal Investigator
      YOSHIFUMI Tsuchimoto (TSUCHIMOTO Yoshifumi)
    • Project Period (FY)
      2008 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kochi University
  •  Research on derived categories in algebraic geometry

    • Principal Investigator
      ISHII Akira
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima University
  •  Study on properties of polarirad varieties by their sectional invariants and its applications

    • Principal Investigator
      FUKUMA Yoshiaki
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kochi University
  •  Study of unramified extensions, with emphasis on Jacobian problemPrincipal Investigator

    • Principal Investigator
      TSUCHIMOTO Yoshifumi, 小駒 哲司
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kochi University
  •  Integrated study on problems related to branched Galois covers

    • Principal Investigator
      TOKUNAGA Hiroo
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
      Kochi University
  •  超弦理論と非可換代数幾何学の関係の研究Principal Investigator

    • Principal Investigator
      土基 善文
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kochi University
  •  保型形式に現れる数理構造の研究とその応用

    • Principal Investigator
      長沼 英久
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kochi University

All 2017 2016 2015 2014 2012 2011 2010 2008 2007 2006 Other

All Journal Article Presentation

  • [Journal Article] Dolbeault complex of non-commutative projective varieties2015

    • Author(s)
      Yoshifumi Tsuchimoto
    • Journal Title

      代数幾何学城崎シンポジウム報告集

      Volume: 2015年度版 Pages: 18-37

    • NAID

      120005973301

    • Data Source
      KAKENHI-PROJECT-24540044
  • [Journal Article] Norm based extension of reflexive modules over Weyl algebras2012

    • Author(s)
      Y. Tsuchimoto
    • Journal Title

      Tohoku J. Math.

      Volume: 64(1) Pages: 61-77

    • NAID

      130005128505

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540046
  • [Journal Article] Norm based extension of reflexive modules over Weyl algebras2012

    • Author(s)
      Y.~Tsuchimoto
    • Journal Title

      Tohoku J.~Math.

      Volume: 64 Pages: 61-77

    • NAID

      130005128505

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540046
  • [Journal Article] Reflexive modules of rank one over Weyl algebras of non-zero characteristics2011

    • Author(s)
      Y. Tsuchimoto
    • Journal Title

      Kyushu J. Math.

      Volume: 65(2) Pages: 279-298

    • NAID

      130001444148

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540046
  • [Journal Article] Reflexive modules of rank one over Weyl algebras of non-zero characteristics2011

    • Author(s)
      Y.Tsuchimoto
    • Journal Title

      Kyushu Journal of Mathematics

      Volume: (投稿中 掲載確定)

    • NAID

      130001444148

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540046
  • [Journal Article] Equations in p-curvature and intertwiners2008

    • Author(s)
      Yoshifumi Tsuchimoto
    • Journal Title

      Osaka Journal of Mathematics (掲載決定)

    • NAID

      120005986712

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540034
  • [Journal Article] Equations in p-curvature and intertwiners, Osaka2008

    • Author(s)
      Yoshifumi Tsuchimoto
    • Journal Title

      J. Math 45

      Pages: 737-746

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540034
  • [Journal Article] Non commutative algebraic spaces of finite type over Dedekind domains2006

    • Author(s)
      Y.Tsuchimoto
    • Journal Title

      J. Math. Kyoto Univ 46

      Pages: 435-452

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540034
  • [Journal Article] Non commutative algebraic spaces of finite type over Dedekind domains2006

    • Author(s)
      Y.Tsuchimoto
    • Journal Title

      J. Math. Kyoto Univ. 46・3

      Pages: 435-452

    • Data Source
      KAKENHI-PROJECT-18540034
  • [Journal Article] Reflexive modules of rank one over Weyl algebras of non-zero characteristics

    • Author(s)
      Y. Tsuchimoto
    • Journal Title

      Kyushu Journal of math (投稿中(掲載確定))

    • NAID

      130001444148

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540046
  • [Presentation] Non commutative complex projective varieties2017

    • Author(s)
      Yoshifumi Tsuchimoto
    • Organizer
      日本数学会年会
    • Place of Presentation
      首 都 大 学 東 京 大 学 院
    • Data Source
      KAKENHI-PROJECT-24540044
  • [Presentation] 非可換ケーラー多様体としての非可換 射影多様体の様子について2016

    • Author(s)
      Yoshifumi Tsuchimoto
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      関西大学
    • Data Source
      KAKENHI-PROJECT-24540044
  • [Presentation] The Dolbeault complex of non-commutative projective varieties.2015

    • Author(s)
      土基 善文
    • Organizer
      「非可換代数幾何学の大域的問題とその周辺」高知小研究集会
    • Place of Presentation
      高知大学
    • Year and Date
      2015-12-18
    • Data Source
      KAKENHI-PROJECT-24540044
  • [Presentation] 非可換射影空間の Dolbeault cohomology2015

    • Author(s)
      Yoshifumi Tsuchimoto
    • Organizer
      日本数学会2015 年度秋季総合分科会
    • Place of Presentation
      京都産業大学
    • Year and Date
      2015-09-14
    • Data Source
      KAKENHI-PROJECT-24540044
  • [Presentation] Dolbeault complex of non-commutative projective varieties2015

    • Author(s)
      土基 善文
    • Organizer
      城崎代数幾何学シンポジウム
    • Place of Presentation
      城崎大会議館
    • Year and Date
      2015-10-20
    • Data Source
      KAKENHI-PROJECT-24540044
  • [Presentation] 非可換ケーラー多様体の試み2014

    • Author(s)
      土基 善文
    • Organizer
      空間の代数的・幾何的モデルとその周辺
    • Place of Presentation
      信州大学理学部
    • Year and Date
      2014-09-19
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540044
  • [Presentation] 非可換ケーラー多様体について2014

    • Author(s)
      土基 善文
    • Organizer
      2014日本数学会秋季総合分科会
    • Place of Presentation
      広 島 大 学 東 広 島 キ ャ ン パ ス
    • Year and Date
      2014-09-28
    • Data Source
      KAKENHI-PROJECT-24540044
  • [Presentation] 非可換ケーラー多様体としての非可換射影多様体2014

    • Author(s)
      土基 善文
    • Organizer
      広島大学代数学セミナー
    • Place of Presentation
      広島大学理学部
    • Year and Date
      2014-11-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540044
  • [Presentation] ワイル代数の階数1の反射的加群の「しわ」について2010

    • Author(s)
      土基善文
    • Organizer
      日本数学会2010年度周期総合分科会
    • Place of Presentation
      名古屋大学
    • Data Source
      KAKENHI-PROJECT-20540046
  • [Presentation] ワイル代数の階数1の反射的加群の「しわ」について2010

    • Author(s)
      土基善文
    • Organizer
      日本数学会2010年度秋季総合分科会
    • Place of Presentation
      名古屋大学(愛知県)
    • Year and Date
      2010-09-23
    • Data Source
      KAKENHI-PROJECT-20540046
  • [Presentation] On non commutative algebraic spaces2007

    • Author(s)
      土基善文
    • Organizer
      代数幾何セミナー2007
    • Place of Presentation
      東京大学玉原国際セミナーハウス
    • Year and Date
      2007-08-09
    • Data Source
      KAKENHI-PROJECT-18540034
  • [Presentation] 有限体上の力学系と非可換幾何学

    • Author(s)
      土基 善文
    • Organizer
      日本数学会
    • Place of Presentation
      学習院大学
    • Data Source
      KAKENHI-PROJECT-24540044
  • 1.  ISHII Akira (10252420)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 2.  OGOMA Tetsushi (20127921)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 3.  TAKURO Mochizuki (10315971)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  TOKUNAGA Hiroo (30211395)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 5.  SHIMADA Ichiro (10235616)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  JUN' ICHI Matsuzawa (00212217)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  KENTARO Yoshitomi (10305609)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  KATSUHIKO Kikuchi (50283586)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  FUKUMA Yoshiaki (20301319)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  INABA Michiaki (80359934)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  UEHARA Hokuto (80378546)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  SHUN-ICHI Kimura (10284150)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  KURANO Kazuhiko (90205188)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  OKA Mutsuo (40011697)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  OURA Manabu (50343380)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  KAWACHI Takeshi (30323778)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  TAKAGI Hiromichi (30322150)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  長沼 英久 (40025408)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  大坪 義夫 (20136360)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  中田 道孝 (10043697)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  伊藤 宗彦 (40168381)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  HAJIME Kuroiwa
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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