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Function theory of several complex variables on psudoconvex complex manifolds with group structures

Research Project

Project/Area Number 15540175
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionKYUSHU UNIVERSITY

Principal Investigator

KAZAMA Hideaki  Kyushu University, Faculty of Mathematics, Professor, 大学院・数理学研究院, 教授 (10037252)

Co-Investigator(Kenkyū-buntansha) 森本 光生  国際基督教大学, 教養学部, 教授 (80053677)
古島 幹雄  熊本大学, 理学部, 教授 (00165482)
高山 茂晴  九州大学, 大学院・数理学研究院, 助教授 (20284333)
Project Period (FY) 2003 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥2,600,000 (Direct Cost: ¥2,600,000)
Fiscal Year 2005: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2004: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2003: ¥900,000 (Direct Cost: ¥900,000)
Keywordsabelian variety / lattice / quasitorus / harmonic function / periodic meromorphic function / トロイダル群 / 大域的有理型関数 / 多重調和関数 / 複素多様体 / 擬凸性 / d'問題 / dd'問題
Research Abstract

We studied theory of holomorphic functions, d'problems and d d'problem on pseudoconvex complex manifolds. We got the result that the solvable condition of d d'problem on a group manifolds was decided by some dynamical System.
We organized an international conference "The 12^<th> international conference on finite or infinite dimensional complex analysis and applications". We edited the proceedings about this conference.

Report

(4 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (15 results)

All 2005 2004 2003 Other

All Journal Article (9 results) Book (1 results) Publications (5 results)

  • [Journal Article] Some problems about toroidal groups2005

    • Author(s)
      H.Kazama, T.Umeno
    • Journal Title

      Proceedings of the 12^th ICFIDCAA

      Pages: 171-178

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Some problems about toroidal groups2005

    • Author(s)
      Hideaki Kazama, Takashi Umeno
    • Journal Title

      Proceedings of the 12^<th> ICFIDCAA(Kyushu University Press)

      Pages: 171-178

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Diophantine approximations and Kodaira' s lemma2004

    • Author(s)
      H.Kazama, K.N.Kim
    • Journal Title

      Kyushu Journal of Mathematics 58

      Pages: 25-31

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Diophantine Approximations and Kodaira's Lemma2004

    • Author(s)
      H.KAZAMA, K.N.KIM
    • Journal Title

      Kyushu Journal of Mathematics 58・1

      Pages: 25-31

    • NAID

      130000063077

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Holomorphic functions on the Lie ball and related topics2004

    • Author(s)
      M.MORIMOTO, K.FUJITA
    • Journal Title

      Adv.Compl.Anal.Appl., Kluwer Acad.Publ. 2

      Pages: 35-44

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Meromorphic functions on toroidal groups2003

    • Author(s)
      H.Kazama, K.N.Kim, U.Umeno
    • Journal Title

      The Proceedings of the Seventh Conference on Real and Complex Analysis, Hiroshima University

      Pages: 88-98

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Two definitions of Boehmians on the sphere2003

    • Author(s)
      M.MORIMOTO
    • Journal Title

      Progress in Analysis, World Sci.Publishing

      Pages: 143-148

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Analytical functions and analytic functionls on some balls2003

    • Author(s)
      K.FUJITA, M.MORIMOTO
    • Journal Title

      Int.Soc.Anal.Appl.Comput., Kluwer Acad.Publ. 10

      Pages: 151-159

    • Related Report
      2004 Annual Research Report
  • [Journal Article] The proceedings of the 12^<th> international conference on finite or infinite dimensional complex analysis and applications

    • Author(s)
      H.Kazama, M.Morimoto, C.C.Yang
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Book] Proceedings of the 12^th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications2005

    • Author(s)
      H.Kazama, M.Morimoto, C.C.Yang (Editors)
    • Total Pages
      419
    • Publisher
      Kyushu University Press
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Publications] Hideaki KAZAMA: "Diophantine Approximations and Kodaira's Lemma"Kyushu Journal of Mathematics. 59(印刷中). (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Shigeharu Takayama: "Local simple connectedness of resolutions of log-terminal singularitics"International Journal of Mathematics. 14・8. 825-836 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Shigeharu Takayama: "Seshadri constants and a criterion for bigness of pseudo-effective line bundles"Mathematische Zeitschrift. 243・1. 179-199 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Shigeharu Takayama: "Iitaka's fibrations via multiplier ideals"Trans.Amer.Math.Soc.. 355・1. 37-47 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Mikio Furushima: "On non-normal del Pezzo surfaces"Mathematische Nachrichten. 260. 3-13 (2003)

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2016-04-21  

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