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The study of commutative rings and its related areas

Research Project

Project/Area Number 62540041
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 代数学・幾何学
Research InstitutionKyoto University

Principal Investigator

AKIBA Tomoharu  Kyoto University, Yosida College, Professor, 教養部, 教授 (60027670)

Co-Investigator(Kenkyū-buntansha) MORIMOTO Yoshinori  Kyoto University, Yosida College, Assistant Professor, 教養部, 助教授 (30115646)
NISHIWADA Kimimasa  Kyoto University, Yosida College, Assistant Professor, 教養部, 助教授 (60093291)
SUZUKI Satosi  Kyoto University, Yosida College, Professor, 教養部, 教授 (60026739)
SAITO Hirosi  Kyoto University, Yosida College, Assistant Professor, 教養部, 助教授 (20025464)
山内 正敏  京都大学, 教養部, 助教授 (30022651)
Project Period (FY) 1987 – 1988
Project Status Completed (Fiscal Year 1988)
Budget Amount *help
¥2,300,000 (Direct Cost: ¥2,300,000)
Fiscal Year 1988: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1987: ¥1,500,000 (Direct Cost: ¥1,500,000)
KeywordsEta multiplier / Hasse principle / Higher derivation (of rings) / Arithmetic-geometric mean of Gauss / higher derivation / non-integrable element / trace value / Huygens principle / hypoelliptic operator
Research Abstract

Our project covers a wide area of mathematics from commutative algebra through number theory to differential equation. Each investigator had discussions and communications with many mathematicians. On the other hands, he attended to research meetings and symposiums of his research area. After these devotions to research, several valuable results are obtained. Some of them have alredy been published in journals and some of them are now submitted to journals. Furthermore research is continued and we wish, in future, to complete to papers.

Report

(2 results)
  • 1988 Annual Research Report   Final Research Report Summary
  • Research Products

    (18 results)

All Other

All Publications (18 results)

  • [Publications] 斎藤裕: J.Number Theory. 25ー1. 53-71 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 斎藤裕: J.Number Theory. 25ー3. 313-327 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 斎藤裕: J.Math.Kyoto Univ.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 鈴木敏: J.Math.Kyoto Univ.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 西和田公正: Proc.Japan Acad.64. 322-324 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 森本芳則: Osaka J.Math.24. 651-675 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 森本芳則: Publ.RIMS Kyoto Univ.23. 955-964 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Saito, Hiroshi: "Elliptic units and a Kummers criterion for imaginary quadratic fields" J. Number Theory. 25. 53-71 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Saito, Hiroshi: "On Missing Trace Values for the Eta Multipliers" J. Number Theory. 25. 313-327 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Saito, Hiroshi: "On a Hasse principle for - conjugacy (to appear)" J. Math. Kyoto Univ.,.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Suzuki, Satoshi: "On extensions of higher derivations for algebraic extensions fields of positive characteristics" J. Math. Kyoto Univ.,.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Nishiwada, Kimimasa: "A Holomorphic Structure of the Arithmetic-geometric Mean of Gauss." Proc. Japan Acad.,. 64. 322-324 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Morimoto, Yoshinori: "A CRITERION FOR HYPELLIPTICITY OF SECOND ORDER DIFFERENTAL OPERATORS" Osaka J. Math.24. 651-675 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Morimoto, Yoshinori: "The uncertainty Principle and Hypoelliptic Operators" Publ. RIMS Kyoto Univ.23. 955-964 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 鈴木敏: Preprint.

    • Related Report
      1988 Annual Research Report
  • [Publications] 斉藤裕: Journal of Nunber Theory. 25ー3. 313-327 (1987)

    • Related Report
      1988 Annual Research Report
  • [Publications] 斉藤裕: Preprint.

    • Related Report
      1988 Annual Research Report
  • [Publications] 森本芳則: Publications R.I.M.S.Kyoto Univ.23ー6. (1987)

    • Related Report
      1988 Annual Research Report

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Published: 1987-04-01   Modified: 2016-04-21  

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