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1987 Fiscal Year Final Research Report Summary

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  Nagoya University. Professor, 理学部, 教授 (00022509)

Co-Investigator(Kenkyū-buntansha) AOMOTO Kazuhiko  Nagoya University. Professor, 理学部, 教授 (00011495)
MATSUMOTO Yukio  University of Tokyo. Assistant Professor, 理学部, 助教授 (20011637)
ODA Tadao  Tohoku University. Professor, 理学部, 教授 (60022555)
OKAMOTO Kiyosato  Hiroshima University. Professor, 理学部, 教授 (60028115)
IHARA Yasutaka  University of Tokyo. Professor, 理学部, 教授 (70011484)
Project Period (FY) 1985 – 1987
KeywordsAlgebraic Geometry / Arthmetic Algebraic Geometry / Number Theory / Applications of Representation Theory / 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

The purpose of this project is the first step of the big project on Advanced studies in Pure Mathematics in Japan, with efforts to obtain government approval for establishing a new institute for Advanced Studies in Pure Mathematics. At such time as this institute comes into being, the activities will be transferred therets.
Proceedings of Symposia in this project are published (to appear) from Kinokuniya and North-Holland, Academic Press: 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.

  • Research Products

    (28 results)

All Other

All Publications (28 results)

  • [Publications] Yasutaka IHARA: Annals of Mathematics. 123. 43-106 (1986)

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

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

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

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

    • Description
      「研究成果報告書概要(和文)」より
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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

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Published: 1989-03-30  

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