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2008 Fiscal Year Self-evaluation Report

Study on theoretical effectivity and practical effectivity of Groebner bases

Research Project

  • PDF
Project/Area Number 18340008
Research Category

Grant-in-Aid for Scientific Research (B)

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

Principal Investigator

HIBI Takayuki  Osaka University, 大学院・情報科学研究科, 教授 (80181113)

Project Period (FY) 2006 – 2009
Keywordsグレブナ-基底 / 計算代数統計 / 計算可換代数 / 凸多面体 / イニシャルイデアル
Research Abstract

今後、我が国において、少なくとも5年以上の長期に亘って継続されるグレブナ-基底の理論と実践に関する共同研究を、将来、永続的な国際共同研究に発展させることを視野に入れ、強力に推進し、我が国がグレブナ-基底の理論的有効性と実践的有効性の探究に関する国際的な研究拠点となることを目指す。

  • Research Products

    (10 results)

All 2009 2008 2007 2006

All Journal Article (5 results) Presentation (5 results)

  • [Journal Article] Groebner bases of nested configurations2008

    • Author(s)
      S. Aoki, T. Hibi, H. Ohsugi and A. Takemura
    • Journal Title

      J. Algebra 320

      Pages: 2583-2593

  • [Journal Article] Gotzmann ideals of the polynomial ring2008

    • Author(s)
      S. Murai and T. Hibi
    • Journal Title

      Math. Z. 260

      Pages: 629-646

  • [Journal Article] Symbolic powers of monomial ideals and vertex cover algebras2007

    • Author(s)
      J. Herzog, T. Hibi and N. V. Trung
    • Journal Title

      Adv. Math. 210

      Pages: 304-322

  • [Journal Article] Special simplices and Gorenstein toric rings2006

    • Author(s)
      H. Ohsugi and T. Hibi
    • Journal Title

      J. Combin. Theory (Ser.A) 113

      Pages: 718-725

  • [Journal Article] Gin and lex of certain monomial ideals2006

    • Author(s)
      S. Murai and T. Hibi
    • Journal Title

      Math. Scand. 99

      Pages: 76-86

  • [Presentation] Old and new results on Ehrhart polynomials of convex polytopes2009

    • Author(s)
      T. Hibi
    • Organizer
      MIT Combinatorics Seminar
    • Place of Presentation
      Cambridge (USA)
    • Year and Date
      2009-03-11
  • [Presentation] Groebner basis techniques in algebraic combinatorics2007

    • Author(s)
      T. Hibi
    • Organizer
      Seminaire, Lotharingien de Combinatoire
    • Place of Presentation
      Bertinoro (Italy)
    • Year and Date
      2007-09-23
  • [Presentation] Commutative algebra and combinatorics2007

    • Author(s)
      T. Hibi
    • Organizer
      Commutative Algebra
    • Place of Presentation
      Cortona (Italy)
    • Year and Date
      2007-09-17
  • [Presentation] Groebner basis techniques in commutative algebra2007

    • Author(s)
      T. Hibi
    • Organizer
      Workshop on Computational and Combinatorial Commutative Algebra
    • Place of Presentation
      Thessalonik (Greece)
    • Year and Date
      2007-08-28
  • [Presentation] Quadratic Groebner bases arising from combinatorics, Integer Points in Polyhedra2006

    • Author(s)
      T. Hibi
    • Organizer
      Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics
    • Place of Presentation
      Snowbird (USA)
    • Year and Date
      2006-06-20

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

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