Study on the moduli space of twistor spaces

• Project/Area Number: 18740028
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Geometry
• Research Institution: Tokyo 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
• Project Status: Completed (Fiscal Year 2008)
• Budget Amount: ¥3,340,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥240,000); Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2007: ¥1,400,000 (Direct Cost: ¥1,400,000); Fiscal Year 2006: ¥900,000 (Direct Cost: ¥900,000)
• Keywords: ツイスター空間 / 自己双対計量 / Moishezon多様体 / ミニツイスター空間 / Einstein-Weyl多様体 / トーリック曲面 / 双有理変換

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

• [Journal Article] On a construction of the twistor spaces of Joyce metric (2008)
  • Author(s): N. Honda
  • Journal Title: J. Alg. Geom. 17 Pages: 709-750
  • NAID: 120003728346
  • Peer Reviewed
• [Journal Article] Double solid twistor spaces; the case of arbitrary signature (2008)
  • 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
  • NAID: 130004558872
  • Peer Reviewed
• [Journal Article] Double solid twistor spaces : the case of arbitrary signature (2008)
  • Author(s): Nobuhiro Honda
  • Journal Title: Inventiones mathematicae 174 Pages: 463-504
  • Peer Reviewed
• [Journal Article] On a construction of the twistor spaces of Joyce metrics (2008)
  • Author(s): Nobuhiro Honda
  • Journal Title: Journal of Algebraic Geometry 17 Pages: 709-750
  • NAID: 120003728346
  • Peer Reviewed
• [Journal Article] Self-dual metrics and twenty-eight bitangents (2007)
  • Author(s): N. Honda
  • Journal Title: J. Diff. Geom. 75 Pages: 175-258
  • Peer Reviewed
• [Journal Article] Twistor lines on Nagata threefold (2007)
  • 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 action (2007)
  • Author(s): N. Honda
  • Journal Title: Proc. Amer. Math. Soc. 135 Pages: 495-505
  • Peer Reviewed
• [Journal Article] Self-dual metrics and twenty-eight bitangents (2007)
  • Author(s): Nobuhiro Honda
  • Journal Title: Journal of Differential Geometry 75 Pages: 175-258
  • Peer Reviewed
• [Journal Article] Equivariant deformations of LeBrun' s self-dual metric with torus action (2007)
  • Author(s): Nobuhiro Honda
  • Journal Title: Proceeding of the American Mathematical Society 135 Pages: 495-505
  • Peer Reviewed
• [Journal Article] Equivariant deformations of LeBrun's self-dual metric with torus action, (2007)
  • Author(s): Nobuhiro Honda
  • Journal Title: Proceeding of American Mathematical Society 135 Pages: 495-505
• [Presentation] A new series of compact minitwitor spaces and Moishezon twistor spaces over them (2008)
  • Author(s): N. Honda
  • Organizer: Geometry of Complex Manifolds III
  • Place of Presentation: Luminy, France
  • Year and Date: 2008-07-04
• [Presentation] Minitwistor spaces of Joyce metrics (2008)
  • Author(s): Nobuhiro Honda
  • Organizer: Geometry of Complex Manifolds, III
  • Place of Presentation: Luminy (France)
  • Year and Date: 2008-07-04
• [Presentation] On a generalization of double solid twistor spaces into arbitrary signature (2007)
  • Author(s): Nobuhiro Honda
  • Organizer: Complex Geometry in Osaka
  • Place of Presentation: 大阪大学中之島センター
  • Year and Date: 2007-11-05
• [Presentation] Explicit examples of algebraic twistor space (2007)
  • 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 examples of algebraic (Moishezon) twistor spaces (2007)
  • Author(s): Nobuhiro Honda
  • Organizer: Sogang geometry and complex analysis simposium
  • Place of Presentation: Sogang大学(ソウル)
  • Year and Date: 2007-05-26
• [Presentation] Explicit construction of the twistor spaces of Joyce metrics (2006)
  • Author(s): N. Honda
  • Organizer: Geometry of Complex Manifolds II
  • Place of Presentation: Luminy, France
  • Year and Date: 2006-10-17
• [Remarks]
  • URL: http://www.math.titech.ac.jp/~honda/index.html
• [Remarks]
  • URL: http://www.math.titech.ac.jp/~honda/index.html