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Analytic Study of Moduli Spaces

Research Project

Project/Area Number 10640067
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

TSUJI Hajime  Graduate School of Science and Engineering, Tokyo Institute of Technology, Associate Prof., 大学院・理工学研究科, 助教授 (30172000)

Co-Investigator(Kenkyū-buntansha) OHSAWA Takeo  Nagoya University, Professor, 多元数理学科, 教授 (30115802)
ISHII Shihoko  Graduate School of Science and Engineering, Tokyo Institute of Technology, Professor, 大学院・理工学研究科, 教授 (60202933)
FUJITA Takao  Graduate School of Science and Engineering, Tokyo Institute of Technology, Professor, 大学院・理工学研究科, 教授 (40092324)
MABUCHI Toshiki  Osaska University, Professor, 理学部, 教授 (80116102)
Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥3,800,000 (Direct Cost: ¥3,800,000)
Fiscal Year 1999: ¥1,800,000 (Direct Cost: ¥1,800,000)
Fiscal Year 1998: ¥2,000,000 (Direct Cost: ¥2,000,000)
Keywordsmoduli / LィイD12ィエD1-es**hch / camical ring / 偏極多様体 / L^2-評値式 / 乗数イデアル / ∂-方程式 / Toric多様体
Research Abstract

We have obtained follwing results.
Th 1. Every moduli space of polarized nonun*rulu* manifold is quasi projective.
Th 2. Commical ring of a proj var of general type in finitely generated. T. Oh*** obtained the following results.
Th 3. Their exi*** no Levi Ha* hypersur** in IPィイD12ィエD1

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (23 results)

All Other

All Publications (23 results)

  • [Publications] H. Tsuji: "Existence and application of Analytic Zarick decompulsion"Trende in Math. 253-271 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Tsuji: "Entire hol. curser and pluri canonical system"Proc. of Hayama Symposium. 121-136 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Ohsawa: "An essay on -Beryman kenmle and baland ***"Proc of ISAAC conf.. 141-148 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Ohsawa: "New extension of Levi flat hyper*** in P^2"Nagoya Math. J.. (to appear).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Ohsawa: "On the extension of L^2-hol. for V"(to appear).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Mabuchi: "K-εmetric with nonvanishing *** ****"Tohoku Math. J.. (to appear).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Tsuji: "Existence and Application of Analytic Z*****i decomposition"Trends in Math. 253-271 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Tsuji: "Entire hol-an*** and ** commercial system"Proc. of Hayama symposium. 121-130 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Ohsawa: "An **s*y on Bergman-Ker*** and balanced domain"Proc. of TSAAC conf.. 141-148 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Ohsawa: "On the extension of LィイD12ィエD1-hol **** V"Nagaya Math. J. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Ohsawa: "Non existence of Levi *** hyper s**** in **"Nagaya Math. J. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Mabuchi: "K.* met** with non ***ishin*"(to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H.Tsuji: "Existence and applications of Analytic Zariski Decom-positions"Trends in Math.. 253-271 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Tsuji: "Entire holomorphic curves and pluricanonical systems"Proc of Hayama Symposium on Several Complex Variables 1998. 121-130 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Ohsawa: "An essay on the Bergman metric and blanced domains Reproducing kernels and their applications"Proc of ISAAC conference, ed. S. Saitoh et al. Klumer Acad. 141-148 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Ohsawa: "Pseudoconvex domains in P^n: A question on the 1-convex boundary points"Analysis and Geometry in SCV, Proc of ethe 40-th Taniguchi Symposium.. 239-252 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Ohsawa (with N.Sibony): "Kahker identity on Levi flat manifolds and application to the embedding"to appear in Nagoya Math. J..

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Ohsawa: "Nonexistence of real analytic Levi flat hypersurfaces in P^2"to appear in Nagoya Math. J..

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Fujita: "An oppendix to Kowachi-Mosekipaper on global generution of codoint bundle" J.of Aly.Georn.7. 7. 251-252 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 満渕俊樹: "数学のたのしみ" 9. 142-147 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] T.Ohsawa-N Sibony: "Bowded pluri and hamoni function and pseudoconutaity" Nagoya Math J. 149. 1-8 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] K.Diedrich-T.Ohsawa: "On psudo convex domain in f^n" Tokyo J.of Math. 21. 353-358 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Tsuji: "Exietence and Applications of Anolytic Zeriski decem pasion" Proc.of 40-th Taniguchi: Conference. (1999)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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