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2010 Fiscal Year Self-evaluation Report

Classification theory of algebraic varieties and derived categories

Research Project

  • PDF
Project/Area Number 20740022
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Algebra
Research InstitutionTokyo Metropolitan University

Principal Investigator

UEHARA Hokuto  Tokyo Metropolitan University, 大学院・理工学研究科, 准教授 (80378546)

Project Period (FY) 2008 – 2010
Keywords導来圏 / トーリック多様体
Research Abstract

Bridgelandの安定性条件、双有理Torelliの反例、ある種の代数多様体(次元が低い場合や、3次元トーリックファノ多様体)の導来圏のある種の生成元の存在など、代数多様体の導来圏に関するいくつかの結果を得た。

  • Research Products

    (12 results)

All 2011 2010 2009 2008 Other

All Journal Article (4 results) (of which Peer Reviewed: 4 results) Presentation (8 results)

  • [Journal Article] Tilting generators via ample line bundles2010

    • Author(s)
      Hokuto Uehara, Yukinobu Toda
    • Journal Title

      Advances in Mathematics. 233

      Pages: 1-29

    • Peer Reviewed
  • [Journal Article] Stability conditions on $A_n$-singularities2010

    • Author(s)
      Hokuto Uehara , Akira Ishii, Kazushi Ueda
    • Journal Title

      J.Differential Geom. 84

      Pages: 87-126

    • Peer Reviewed
  • [Journal Article] Three-dimensional terminal toric flip2009

    • Author(s)
      Hokuto Uehara, Osamu Fujino, Hiroshi Sato, Yukishige Takano
    • Journal Title

      Cent.Eur.J.Math. 7

      Pages: 46-53

    • Peer Reviewed
  • [Journal Article] A counterexample of the birational Torelli problem via Fourier-Mukai transform

    • Author(s)
      Hokuto Uehara
    • Journal Title

      J.Algebraic Geom (受理済み)

    • Peer Reviewed
  • [Presentation] Generators by Frobenius push-forward on smooth toric surfaces2011

    • Author(s)
      上原北斗
    • Organizer
      Workshop on Non-commutative Geometry and the McKay Correspondence
    • Place of Presentation
      名古屋大学(招待講演)
    • Year and Date
      2011-03-15
  • [Presentation] Exceptional collections on toric Fano threefolds and birational geometry2010

    • Author(s)
      上原北斗
    • Organizer
      代数幾何とホモトピー論の新展開
    • Place of Presentation
      東京都市大学(招待講演)
    • Year and Date
      2010-12-17
  • [Presentation] McKay correspondence and derived categories2010

    • Author(s)
      上原北斗
    • Organizer
      都の西北 代数幾何学シンポジウム
    • Place of Presentation
      早稲田大学(招待講演)
    • Year and Date
      2010-11-11
  • [Presentation] Tilting generators via ample line bundles2010

    • Author(s)
      上原北斗
    • Organizer
      Summer meeting of the Canadian Mathematical Society
    • Place of Presentation
      カナダ, University of New Brunswick(招待講演)
    • Year and Date
      2010-06-07
  • [Presentation] Tilting generators via ample line bundles2009

    • Author(s)
      上原北斗
    • Organizer
      国際研究集会 「Interactions Between Noncommutative Algebra and Algebraic Geometry」
    • Place of Presentation
      カナダ, バンフ, BIRS(招待講演)
    • Year and Date
      2009-10-29
  • [Presentation] Fourier-Mukai numbers of minimal elliptic rational surfaces2009

    • Author(s)
      上原北斗
    • Organizer
      Summer meeting of the Canadian Mathematical Society
    • Place of Presentation
      カナダ, Memorial University of Newfoundland(招待講演)
    • Year and Date
      2009-06-05
  • [Presentation] Fourier-Mukai numbers of minimal elliptic rational surfaces2009

    • Author(s)
      上原北斗
    • Organizer
      第4回代数、解析、幾何セミナー
    • Place of Presentation
      鹿児島大学(招待講演)
    • Year and Date
      2009-02-18
  • [Presentation] Tilting generators via ample line bundles2008

    • Author(s)
      上原北斗
    • Organizer
      国際研究集会 「Vector bundles」
    • Place of Presentation
      インド, ムンバイ, TATA研究所(招待講演)
    • Year and Date
      2008-03-06

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Published: 2012-03-09   Modified: 2016-04-21  

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