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Advanced Studies in Pure Mathematics

Research Project

Project/Area Number 60302001
Research Category

Grant-in-Aid for Co-operative Research (A)

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

Principal Investigator

MORIKAWA Hisasi  名古屋大学, 理学部, 教授 (00022509)

Co-Investigator(Kenkyū-buntansha) AOMOTO Kazuhiko  名古屋大学, 理学部, 教授 (00011495)
MATSUMOTO Yukio  東京大学, 理学部, 助教授 (20011637)
ODA Tadao  東北大学, 理学部, 教授 (60022555)
OKAMOTO Kiyosato  広島大学, 理学部, 教授 (60028115)
IHARA Yasutaka  東京大学, 理学部, 教授 (70011484)
永田 雅宜  京都大学, 理学部, 教授 (00025230)
砂田 利一  名古屋大学, 理学部, 助教授 (20022741)
松村 英之  名古屋大学, 理学部, 教授 (80025270)
Project Period (FY) 1985 – 1987
Project Status Completed (Fiscal Year 1987)
Budget Amount *help
¥17,800,000 (Direct Cost: ¥17,800,000)
Fiscal Year 1987: ¥5,100,000 (Direct Cost: ¥5,100,000)
Fiscal Year 1986: ¥5,100,000 (Direct Cost: ¥5,100,000)
Fiscal Year 1985: ¥7,600,000 (Direct Cost: ¥7,600,000)
KeywordsAlgebraic Geometry / Arthmetic Algebraic Geometry / Number Theory / Applications of Representation Theory / アファインワイル群 / 球関数 / セルバーグ型ゼーター関数 / 閉測地線 / コンホーマル フィールド理論 / 代数幾何学 / 可換環と組合せ理論 / 数論 / 数論的代数幾何学 / リー群の表現の解析学への応用 / 物理数学の代数幾何的取扱い
Research Abstract

この総合研究は, 基礎数理の研究に関する長期計画の一部であり, 現在計画されている基礎数理研究所の活動の可能な部分を先取りして実行するため設けられたものであります. 科学研究費総合Aの範囲で, その活動には自ずと限度がありますが, 大別して次の2つを実行しました.
(I)我が国の基礎数理の研究の中で, 最も活発な分野で研究集会(出来れば国際的な)をいくつか定期的に行い, あわせて国際的報告集のseries Advanced Studies in Pure Mathematics Kinokuniya-Northhollandを発刊してその成果を発表する. 前期のVol.1〜9に続き
Vol.10 Algebraic geometry
Vol.11 Commutative algebra and Combinatorics
Vol.12 K-theory and Number Theory
Vol.13 Algebraic Number Theory
Vol.14 Analysis on homogeneous spaces
Vol.15 Number theoretic varieties
Vol.16 Mathematical Physics
Vol.17 Number theory
以上の報告集の題名より, その内容をくみ取っていただくことにします.
(II)重要な研究を進行中の研究者を, その研究完成にとって最も適切な研究機関に派遣して, 活動を促進すること.

Report

(3 results)
  • 1988 Annual Research Report
  • 1987 Final Research Report Summary
  • 1986 Annual Research Report

Research Products

(44 results)

All Other

All Publications (44 results)

  • [Publications] Hisasi,MORIKAWA: Nagoya Math.J.99. 45-62 (1985)

    • Related Report
      1988 Annual Research Report
  • [Publications] Yasutaka,IHARA: Adv.Studies in Pure Math.12. 65-87 (1987)

    • Related Report
      1988 Annual Research Report
  • [Publications] Kiyosato,OKAMOTO: Adv.Studies in Pure Math.

    • Related Report
      1988 Annual Research Report
  • [Publications] Tadao,ODA: Algebraic and Topological Theories. 86-103 (1986)

    • Related Report
      1988 Annual Research Report
  • [Publications] Yukio,MATSUMOTO: Topology. 25. 549-563 (1986)

    • Related Report
      1988 Annual Research Report
  • [Publications] Kazuhiko,AOMOTO: S.I.A.M.,J.Math.Anal.18. 545-549 (1987)

    • Related Report
      1988 Annual Research Report
  • [Publications] Tadao,ODA: "Convex Bodies and Algebraic Geometry" Springer-Verlag, (1987)

    • Related Report
      1988 Annual Research Report
  • [Publications] Yukio,MATSUMOTO: "An explicit formula of the metric on the moduli space of BPST-instantons over S^4" Academic Press, (1987)

    • Related Report
      1988 Annual Research Report
  • [Publications] Yasutaka IHARA: Annals of Mathematics. 123. 43-106 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Yasutaka IHARA: Inventiones Mathematicae. 86. 427-459 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Tadao ODA: Algebraic and Topological Theories. 86-103 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Yukio MATSUMTO: Topology. 25. 549-563 (19868)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Tadashi NAGANO: Journal of the Faculty of Science, University of Tokyo. 33. 233-246 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Ryoshi HOTTA: Proc. of SYMP. in Pure Math., A.M.S.(1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Tadao ODA: Adv. Studies in pure Math.8. 363-404 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Masayoshi NAGATA: Adv. Studies in Pure Math.11. 167-171 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Yasutaka IHARA: ADv. Studies in Pure Math.12. 65-87 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Kazuhiko AOMOTO: J.Math. Soc. Japan. 39. 191-208 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Kazuhiko AOMOTO: S.I.A.M., J. Math. Anal.18. 545-549 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Kiyosato OKAMOTO: Adv. Studies in Pure Math.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] 小田忠雄: "凸体と代数幾何学" 紀伊国屋書店, 229 (1985)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Ryoshi HOTTA: "Introduction to D-modules" Institute of Math. Sciences, Madras, India, 207 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Uukio MATSMTO: "An explicit formula of the metric on the moduli space of BPST-instantons over s^4" Academic Press, (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Tadao ODA: "Convex Bodies and Algebraic Geometry" Springer-Verlag, 212 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Yasutaka IHARA: "Profinite braid groups, Galois representations and complex multiplications" Annals of Mathematics. 123. 43-106 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Yasutaka IHARA: "On Galois representations arising from towers of coverings of curves" Inventiones Mathematicae. 86. 427-459 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Tadao ODA: "Additive forms having additive initial forms" Algebraic and Topological Theories. 86-103 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Yukio MATSUMOTO: "Diffeomorphism types of elliptic surfaces" Topology. 25. 549-563 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Tadashi NAGANO: "On compact Riemannian manifolds admitting essential projective transformations" Journal of the Faculty of Science, University of Tokyo. 33. 233-246 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Tadao ODA: "Infinitely very near singular pints" Adv. Studies in Pure Math.8. 363-404 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Masayoshi MAGATA: "On the definition of a Euclid ring" Adv. Studies in Pure Math.11. 167-171 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Yasutaka IHARA: "On some properties of the universal power series for Jacobi sums" Adv. Studies in Pure Math.12. 65-87 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Kazuhiko AOMOTO: "Gauss-Manin correction of integral of difference products" J. Math. Soc. Japan. 39. 191-208 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Kazuhiko AOMOTO: "Jacobi polynomials associated with Selberg integrals" S.I.A.M., J. Math. Anal.18. 545-549 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Ryoshi HOTTA: Introduction to D-modules. Institute of Math. Sciences, Madras, India, 207 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Tadao ODA: Convex Bodies and Algebraic Geometry. Springer-Verlag, 212 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] Yasutaka IHARA: Annals of Mathematics. 123. 43-106 (1986)

    • Related Report
      1986 Annual Research Report
  • [Publications] Yasutaka IHARA: Inventiones Mathematicae. 86. 427-459 (1986)

    • Related Report
      1986 Annual Research Report
  • [Publications] Tadao,ODA: Algebraic and Topological Theories. 86-103 (1986)

    • Related Report
      1986 Annual Research Report
  • [Publications] Ryoshi,HOTTA: Proc.of Symp.in Pure Math.,A.M.S.

    • Related Report
      1986 Annual Research Report
  • [Publications] T.NAGANO-T.OCHIAI: Journal of the Faculty of Science,University of Tokyo. 33. 233-246 (1986)

    • Related Report
      1986 Annual Research Report
  • [Publications] Yukio MATSUMOTO: Topology. 25. 549-563 (1986)

    • Related Report
      1986 Annual Research Report
  • [Publications] Tadao,ODA: "Convex Bodies and Algebraic Geometry" Springer-Verlag, (1987)

    • Related Report
      1986 Annual Research Report
  • [Publications] Ryoshi,HOTTA: "Introduction to D-modules" Institute of Math.Sciences,Madras,India, 207 (1987)

    • Related Report
      1986 Annual Research Report

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Published: 1987-03-30   Modified: 2016-04-21  

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