• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Research on T-duality of Calabi-Yau manifolds of dimension less than or equal to four

Research Project

Project/Area Number 16540031
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Algebra
Research InstitutionTokyo Metropolitan University

Principal Investigator

KOBAYASHI Masanori  Tokyo Metropolitan University, Faculty of Urban Liberal Arts, Associate Professor, 都市教養学部, 助教授 (60234845)

Project Period (FY) 2004 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2005: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2004: ¥500,000 (Direct Cost: ¥500,000)
Keywordsderived category / Calabi-Yau manifold / dulaity / learning / algebraic geometry / 代数幾何学 / カラビ-ヤウ多様体 / 超弦理論 / 特異点 / 計算論的学習理論
Research Abstract

I have studied mainly on the relationship between Calabi-Yau manifolds and derived categories. In particular, we studied how one can recover a complex manifold from its derived category e.g. by defining stability condition, and what should be expected on the equivalence among derived categories of complex symplectic manifolds.
I visited Okayama University on behalf of the annual autumn meeting of the Mathematical Society of Japan from September 19 to 23 and made exchanges of information to researchers of algebraic geometry, differential geometry and mathematical physics. I exchanged information at Kinosaki conference hail from October 24 to 28, mainly from the viewpoint of algebraic geometry.
I organized an international workshop with Professor Daisuke Matsushita at Hokkaido University from November 21 to 25 on the research subject.
There was a meeting on recent development of relating subjects on February 16 and 17. I have sent my graduate students to collect information on behalf of me and had a report from them.
In relation to computational learning, I received a prize from The Japanese Society for Artificial Intelligence for the study on Newton diagrams with Professor Akio Yamamoto in Kyoto University and Professor Hiro-o Tokunaga in Tokyo Metropolitan University last year. We continued a study on noetherian rings.
I bought relating magazines.

Report

(3 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • Research Products

    (6 results)

All 2005

All Journal Article (6 results)

  • [Journal Article] 多項式のイデアルと正データからの学習2005

    • Author(s)
      小林正典, 徳永浩雄, 山本章博
    • Journal Title

      2005年情報論的学習理論ワークショップ予稿集

      Pages: 129-134

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] ニュートン図形の極限同定と複素超曲面の特異点解消2005

    • Author(s)
      小林正典, 徳永浩雄, 山本章博
    • Journal Title

      人工知能基本問題研究会資料(人工知能学会) (SIG-FPAI-A403)

      Pages: 5-9

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Ideals of polynomial rings and learning from positive data (in Japanese)2005

    • Author(s)
      Masanori Kobayashi, Hiro-o Tokunaga, Akihiro Yamamoto
    • Journal Title

      Proc.of Eighth Workshop on Information-based Induction Science

      Pages: 129-134

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Identification of Newton diagram in the limit and resolution of singularities on complex hypersurface2005

    • Author(s)
      Masanori Kobayashi, Hiro-o Tokunaga, Akihiro Yamamoto
    • Journal Title

      The Japanese society for Artificial Intelligence(in Japanese) SIG-FPAI-A403

      Pages: 5-9

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 多項式のイデアルと正データからの学習2005

    • Author(s)
      小林正典, 徳永浩雄, 山本 章博
    • Journal Title

      2005年情報論的学習理論ワークショップ予稿集

      Pages: 129-134

    • Related Report
      2005 Annual Research Report
  • [Journal Article] ニュートン図形の極限同定と複素超曲面の特異点解消2005

    • Author(s)
      小林正典, 徳永浩雄, 山本 章博
    • Journal Title

      人工知能学会 第58回人工知能基本問題研究会資料SIG-FPAI-A403

      Pages: 5-9

    • Related Report
      2005 Annual Research Report

URL: 

Published: 2004-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi