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2008 Fiscal Year Final Research Report

Study on the moduli space of twistor spaces

Research Project

  • PDF
Project/Area Number 18740028
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Geometry
Research InstitutionTokyo Institute of Technology

Principal Investigator

HONADA Nobuhiro  Tokyo Institute of Technology, 大学院・理工学研究科, 准教授 (60311809)

Project Period (FY) 2006 – 2008
Keywordsツイスター空間 / 自己双対計量
Research Abstract

これまでいくつかの系列しか知られていなかったコンパクトツイスター空間の具体例に関して、新しい例を大量に構成した。さらに新しいコンパクトミニツイスター空間の具体例を大量に発見・構成した。

  • Research Products

    (9 results)

All 2008 2007 2006

All Journal Article (6 results) (of which Peer Reviewed: 6 results) Presentation (3 results)

  • [Journal Article] On a construction of the twistor spaces of Joyce metric2008

    • Author(s)
      N. Honda
    • Journal Title

      J. Alg. Geom. 17

      Pages: 709-750

    • Peer Reviewed
  • [Journal Article] Double solid twistor spaces; the case of arbitrary signature2008

    • Author(s)
      N. Honda
    • Journal Title

      Invent. Math. 174

      Pages: 463-504

    • Peer Reviewed
  • [Journal Article] ツイスター空間と自己双対計量2008

    • Author(s)
      本多宣博
    • Journal Title

      数学 60

      Pages: 380-398

    • Peer Reviewed
  • [Journal Article] Self-dual metrics and twenty-eight bitangents2007

    • Author(s)
      N. Honda
    • Journal Title

      J. Diff. Geom. 75

      Pages: 175-258

    • Peer Reviewed
  • [Journal Article] Twistor lines on Nagata threefold2007

    • Author(s)
      N. Honda
    • Journal Title

      J. Math. Kyoto Univ. 47

      Pages: 837-848

    • Peer Reviewed
  • [Journal Article] Equivariant deformations of Le Brun metrics with torua action2007

    • Author(s)
      N. Honda
    • Journal Title

      Proc. Amer. Math. Soc. 135

      Pages: 495-505

    • Peer Reviewed
  • [Presentation] A new series of compact minitwitor spaces and Moishezon twistor spaces over them2008

    • Author(s)
      N. Honda
    • Organizer
      Geometry of Complex Manifolds III
    • Place of Presentation
      Luminy, France
    • Year and Date
      2008-07-04
  • [Presentation] Explicit examples of algebraic twistor space2007

    • Author(s)
      N. Honda
    • Organizer
      Sogang Geometry and Complex Analysis Symposium
    • Place of Presentation
      韓国・ソウル
    • Year and Date
      2007-05-26
  • [Presentation] Explicit construction of the twistor spaces of Joyce metrics2006

    • Author(s)
      N. Honda
    • Organizer
      Geometry of Complex Manifolds II
    • Place of Presentation
      Luminy, France
    • Year and Date
      2006-10-17

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Published: 2010-06-10   Modified: 2016-04-21  

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