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2008 Fiscal Year Self-evaluation Report

Closure operations and Actions of Algebraic Groups

Research Project

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Project/Area Number 18540025
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Algebra
Research InstitutionNagoya University

Principal Investigator

HASHIMOTO Mitsuyasu  Nagoya University, 大学院・多元数理科学研究科, 准教授 (10208465)

Project Period (FY) 2006 – 2009
Keywords密着閉包 / 代数群
Research Abstract

代数群が作用する可換環の群の作用で不変なイデアルについて、それらの各種の環論的閉包操作によって、不変性が保たれるかどうかを論ずる。具体的には、根基、整閉包、密着閉包、フロベニウス閉包、プラス閉包についてこの問題を議論する。

  • Research Products

    (15 results)

All 2009 2008 2007 2006

All Journal Article (10 results) (of which Peer Reviewed: 10 results) Presentation (4 results) Book (1 results)

  • [Journal Article] Acyclicity of complexes of flat modules2008

    • Author(s)
      M. Hashimoto
    • Journal Title

      Nagoya Math. J.

      Pages: 111-118

    • Peer Reviewed
  • [Journal Article] Local cohomology on diagrams of schemes2008

    • Author(s)
      M. Hashimoto and M. Ohtani
    • Journal Title

      Michigan Math. J. 57

      Pages: 383-425

    • Peer Reviewed
  • [Journal Article] Generalized test ideals and symbolic powers2008

    • Author(s)
      S. Takag and K.-i. Yoshida
    • Journal Title

      Michigan Math. J. 36

      Pages: 711-724

    • Peer Reviewed
  • [Journal Article] A note on Cohen-Macaulayness of Stanley-Reisner rings with Serre's condition (S_2)2008

    • Author(s)
      N. Terai and K.-i. Yoshida
    • Journal Title

      Comm. Algebra 36

      Pages: 464-477

    • Peer Reviewed
  • [Journal Article] Buchsbaum homogeneous algebras with minimal multiplicity2007

    • Author(s)
      S. Goto and K.-i. Yoshida,
    • Journal Title

      J. Pure Appl. Algebra 210

      Pages: 735-749

    • Peer Reviewed
  • [Journal Article] Base change of invariant subrings2007

    • Author(s)
      M. Hashimoto
    • Journal Title

      Nagoya Math. J. 186

      Pages: 165-171

    • Peer Reviewed
  • [Journal Article] Buchsbaum Stanley-Reisner rings and Cohen-Macaulay covers2006

    • Author(s)
      N. Terai and K.-i. Yoshida,
    • Journal Title

      Comm. Algebra 34-7

      Pages: 2673-2681

    • Peer Reviewed
  • [Journal Article] Buchsbaum Stanley-Reisner rings with large multiplicities are Cohen-Macaulay2006

    • Author(s)
      N. Terai and K.-i. Yoshida,
    • Journal Title

      J. Algebra 301

      Pages: 493-508

    • Peer Reviewed
  • [Journal Article] Buchsbaum Stanley-Reisner rings with minimal multiplicity2006

    • Author(s)
      N. Terai and K.-i. Yoshida
    • Journal Title

      Proc Amer. Math. Soc. 134

      Pages: 55-65

    • Peer Reviewed
  • [Journal Article] Another proof of global F-regularity of Schubert varieties2006

    • Author(s)
      M. Hashimoto
    • Journal Title

      Tohoku Math. J. 58

      Pages: 323-328

    • Peer Reviewed
  • [Presentation] U-invariants of a G-action2009

    • Author(s)
      Mitsuyasu Hashimoto
    • Organizer
      the 4^<th> Japan-Vietnam joint seminar on commutative algebra by and for young mathematicians
    • Place of Presentation
      明治大学(川崎市)
    • Year and Date
      2009-02-21
  • [Presentation] G-prime and G-primary G-ideals on G-schemes2008

    • Author(s)
      橋本光靖
    • Organizer
      第30回可換環論シンポジウム
    • Place of Presentation
      唐津市
    • Year and Date
      2008-11-19
  • [Presentation] G-prime and G-primary G-ideals on G-schemes2008

    • Author(s)
      Mitsuyasu Hashimoto
    • Organizer
      Commutative algebra and its interactions with algebraic geometry
    • Place of Presentation
      CIRM, Luminy (France)
    • Year and Date
      2008-10-03
  • [Presentation] 不変式環の環論的性質2008

    • Author(s)
      橋本光靖
    • Organizer
      第53回代数学シンポジウム
    • Place of Presentation
      盛岡市
    • Year and Date
      2008-08-05
  • [Book] Foundations of Grothendieck Duality for Diagrams of Schemes2009

    • Author(s)
      J. Lipman M. Hashimoto
    • Total Pages
      478+x
    • Publisher
      Springer Verlag

URL: 

Published: 2010-06-11   Modified: 2016-04-21  

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