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2008 Fiscal Year Self-evaluation Report

Research on singularities of a variety

Research Project

  • PDF
Project/Area Number 18340004
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Algebra
Research InstitutionTokyo Institute of Technology

Principal Investigator

ISHII Shihoko  Tokyo Institute of Technology, 大学院・理工学研究科, 教授 (60202933)

Project Period (FY) 2006 – 2009
Keywords弧空間 / ジェット空間 / lc-threshold
Research Abstract

代数多様体の特異点における局所環とそのイデアル, また弧空間を調べることによって特異点の性質を明らかにしようとする研究である.

  • Research Products

    (6 results)

All 2009 2008 Other

All Journal Article (4 results) (of which Peer Reviewed: 4 results) Presentation (2 results)

  • [Journal Article] Divisorial valuations viaarcs2008

    • Author(s)
      Tommaso de Fernex, Lawrence Ein and Shihoko Ishii
    • Journal Title

      Publ. RIMS, Kyoto Univ. 44

      Pages: 425-448

    • Peer Reviewed
  • [Journal Article] F-thresholds, tight closure, integral closure, and multiplicity bounds2008

    • Author(s)
      C. Huneke, M. Mustata, S. Takagi and K. Watanabe
    • Journal Title

      Michigan Math. J. 57

      Pages: 463-483

    • Peer Reviewed
  • [Journal Article] Smoothness and jet schemes

    • Author(s)
      Shihoko Ishii
    • Journal Title

      Advanced Studies in Pure Mathematics (掲載決定)

    • Peer Reviewed
  • [Journal Article] Complex surface singularities and degenerations of compact complex curves

    • Author(s)
      Tadashi Tomaru
    • Journal Title

      Demonstratio Math (掲載決定)

    • Peer Reviewed
  • [Presentation] From jet schemes to the base scheme2009

    • Author(s)
      Shihoko Ishii
    • Organizer
      Main Seminar in Algebraic Geometry
    • Place of Presentation
      MSRI(Mathematical Science Research Institute, Berkeley)
    • Year and Date
      2009-03-09
  • [Presentation] Geometric properties by jet schemes2008

    • Author(s)
      S.Ishii
    • Organizer
      Hayama Symposium on Complex Analysis in Several Variables XII
    • Place of Presentation
      葉山国際村センター
    • Year and Date
      2008-07-15

URL: 

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

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