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1991 Fiscal Year Final Research Report Summary

Algebraic Theory of Manifolds

Research Project

Project/Area Number 01302001
Research Category

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

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

Principal Investigator

MIYANISHI Masayoshi  Osaka Univ. Fac. Sci. Professor, 理学部, 教授 (80025311)

Co-Investigator(Kenkyū-buntansha) KAWAMATA Yuujiro  Tokyo Univ. Fac. Sci. Professor, 理学部, 教授 (90126037)
UENO Kenji  Kyoto Univ. Fac. Sci. Professor, 理学部, 教授 (40011655)
MARUYAMA Masaki  Kyoto Univ. Fac. Sci. Professor, 理学部, 教授 (50025459)
KITAOKA Yoshiyuki  Nagoya Univ. Fac. Sci. Professor, 理学部, 教授 (40022686)
ODA Tadao  Tohoku Univ. Fac. Sci. Professor, 理学部, 教授 (60022555)
Project Period (FY) 1989 – 1991
KeywordsAlgebraic Variety / Vector Bundle / Calabi-Yau Manifold / Hodge Theory / Period Mapping / Commutative Algebra / Singularity
Research Abstract

1. Head investigator and cooperative investigators pursued a research under the title of algebraic theory of manifolds with cooperations of other researchers within or in the vicinity of the field in interest.
2. We organized and held research meetings to discuss outstanding results obtained in the research under the title. Those held in 1991 include the following ;
(1) Algebraic Geometry symposium (Vector bundles) (Kyoto Univ. Oct. 1 - 4)
(2) Commutative Algebra symposium (Intec Ohyama Training Center, Oct. 30-Nov. 2)
(3) Algebraic Geometry symposium (Comprehensive) (Kinosaki, Nov. 4-8)
(4) Algebraic Geometry and Hodge Theory (Kyoto Univ. Res. Inst. Math. Sci. Dec. 2-6)
3. We collected various materials and data related to the reseach under the title.
4. We prompted discussions within cooperative investigators and the researchers interested in the research under the title.
5. We published proceedings-of the meetings'sponsored by t. hi-s project during 1989-1991.

  • Research Products

    (60 results)

All Other

All Publications (60 results)

  • [Publications] MIYANISHI,Masayoshi: "Homology planes with quotient singularities" Journal of Mathematics,Kyoto University. 31. 755-788 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] MIYANISHI,Masayoshi: "Gorenstein del Pezzo surfaces,II" Journal of Algebra. (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] GURJAR,R.V.: "Affine lines on logarithmic 〓-homology planes" Mathematische Annalen. (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] ODA,Tadao: "Simple convex polytopes and the strong Lefschetz theorem" Journal of Pure and Applied Algebra. 71. 265-286 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] ODA,Tadao: "Linear Gale transforms and Gelfand-Kapranov-Zelevinskij decompositions" Tohoku Mathematics Journal. 43. 375-399 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] KITAOKA,Yoshiyuki: "A note on representation of positive definite binary quadratic forms by positive definite quadratic forms in 6 variables" Acta Arithmtica. 54. 317-322 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] KITAOKA,Yoshiyuki: "A note on Klingen's Eisenstein series" Abh.Math.Sem.Univ.Hamburg. 60. 95-114 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] MARUYAMA,Masaki: "On compactifications of the moduli space of instantons" International Journal of Mathematics. 1. 431-477 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] MARUYAMA,Masaki: "Moduli of parabolic stable bundles" Mathematische Annalen. (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] KATSURA,Toshiyuki: "New besonization and conformal field theory over 〓" Commun.Mathematical Physics. 121. 603-627 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] KAWAMATA,Yuujiro: "On the length of an extremal rational curve" Inventiones Mathematicae. 105. 609-611 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] KAWAMATA,Yuujiro: "Unobstructed deformations - a remark on a paper of Z.Ran" Journal of Algebraic Ceometry. (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] SUWA,Tatsuo: "D-modules associated to complex analytic singuar foliations" J.Fac.Sci.Univ.Tokyo Sect.IA Math.37. 297-320 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] SUWA,Tatsuo: "Finite determinacy of analytic foliation germs without formal integrating factors" Proc.Amer.Math.Soc.112. 989-997 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] FUJITA,Takao: "On singular Del Pezzo varieties" Proceedings of L'Aquilla meeting in Algebraic Geometry,Lecture Notes in Mathematics. 1417. 117-128 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] FUJITA,Takao: "On Del Pezzo fibrations over curves" Osaka Journal of Mathematics. 27. 229-245 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] SHIODA,Tetsuji: "Mordell-Weil lattices of type E_8 and deformation of singularities" Lecture Notes in Mathematics. 1468. 177-202 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] SHIODA,Tetsuji: "An infinite family of elliptic curves over 〓 with large rank via Neron's method" Inventiones Mathematicae. 106. 109-119 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] MABUCHI,Toshiki: "Compactification of the moduli space of Einstein Kahler orbifolds" Adv.Stud.Pure Math.18. 359-384 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] MABUCHI,Toshiki: "Compactification of the moduli space of quartic del Pezzo surfaces" Lecture Notes in Mathematics.

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] SUMIHIRO,Hideyasu: "On the geometry of determinantal varieties associated to 2-bundles on P^n"

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] SUMIHIRO,Hideyasu: "A vanishing theorem for symmetric tensors of 2-bundles on P^n and its applications"

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] UMEMURA,Hiroshi: "Birational automorphism groups and the differential equations" Nagoya Math.Journal. 119. 1-80 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] UMEMURA,Hiroshi: "Second proof of the irreducibility of the first differential equation of Painleve" Nagoya Math.Journal. 117. 125-171 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] IITAKA,Shigeru: "Group theory through computer programming" Proceedings of ICMI-CHINA Regional Conference on Mathematical Education. 3-24 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] WATANABE,Keiichi: "Regular Z-graded rings" Proc.Fac.Sci.Tokai Univ.25. 1-8 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] WATANABE,Keiichi: "F-regular and F-pure normal graded rings" J.Pure Appl.Algebra. 71. 341-350 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] MORI,Shigefumi: "Classification of three-dimensional flips"

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] NAGATA,Masayoshi: "A proof of the theorem of Eakin-Nagata" Proc.Japan Acad.67. 238-239 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] NAGATA,Masayoshi: "Some questions on Euclid rings" Proc.Conf.Ordered Structure and Alg.Comput.Languages,Hong Kong 1991.

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] FUJITA,Takao: "Classification Theories of Polarized Varieties" Cambridge University Press, 205+xiv (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] MIYANISHI, Masayoshi: "Homology planes with quotient singularities" J. Math. Kyoto Univ.31. 755-788 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] MIYANISHI, Masayoshi: "Gorenstein del Pezzo surfaces, II" J. Algebra.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] GURJAR, R. V.: "Affine lines on logarithmic Q-homology planes" Math. Ann.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] ODA, Tadao: "Simple convex polytopes and the strong Lefschetz theorem" J. Pure Appl. Algebra. 71. 265-286 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] ODA, Tadao: "Linear Gale transforms and Gelfand Kapranov-Zelevinskij decompositions" Tohoku Math. J.43. 375-399 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] KITAOKA, Yoshiyuki: "A note on representation of positive binary quadratic forms by positive definite quadratic forms in 6 variables" Acta Arithmetica. 54. 317-322 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] KITAOKA, Yoshiyuki: "A note on Klingen's Eisenstein series" Abh. Math. Sem. Univ. Hamburg. 1. 431-477 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] MARUYAMA, Masaki: "Moduli of parabolic stable bundles" Math. Ann.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] MARUYAMA, Masaki: "On compactifications of the moduli space of instantons" Internat. J. Math.1. 431-477 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] KATSURA, Toshiyuki: "New besonization and conformal field theory over Z" Comm. Math. Phy.121. 603-627 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] KAWAMATA, Yuujiro: "Unobstructed deformations - a remark on a paper of Z. Ran" J. Alg. Geom.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] SUWA, Tatsuo: "D-modules associated to complex analytic singular foliations" J. Fac. Sci. Univ. Tokyo, Sect. IA. 37. 297-320 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] SUWA, Tatsuo: "Finite determinacy of analytic foliation germs without formal integrating factors" Proc. Amer. Math. Soc.112. 989-997 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] FUJITA, Takao: "On singular Del Pezzo varieties" Proc. L'Aquilla Meeting Lecture Notes in Math.1417. 117-128 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] FUJITA, Takao: "On Del Pezzo vibrations over curves" Osaka J. Math.27. 229-245 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] SHIODA, Tetsuji: "Mordell-Weil lattices of type E_8 and deformations of singularities" Lecture Notes in Math.1468. 177-202 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] SHIODA, Tetsuji: "An infinite family of elliptic curves over Q with large rank via Neron's method" Invent. Math.106. 109-119 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] IITAKA, Shigeru: "Group theory through computer programming" Proc. ICMI-CHINA Reg. Conf. on Math. Edu.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] WATANABE, Keiichi: "Regular Z-graded rings" Proc. Fac. Sci. Tokai Univ.25. 1-8 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] WATANABE, Keiichi: "F-regular and F-pure normal graded rings" J. Pure Appl. Algebra. 71. 341-350 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] MORI, Shigefumi: "Classification of three-dimensional flips"

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] NAGATA, Masayoshi: "A proof of the theorem of Eakin-Nagata" Proc. Japan Acad.67. 238-239 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] NAGATA, Masayoshi: "Some questions on Euclid rings" Proc. Conf. Ordered Structure and Alg. Comput. Languages.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] MABUCHI, Toshiki: "Compactification of the moduli space of Einstein Kahler orbifolds" Adv. Stud. Pure Math.18. 359-384 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] MABUCHI, Toshiki: "Compactification of the modulispace of quartic del Pezzo surfaces" Lecture Notes in Math.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] SUMIHIRO, Hideyasu: "On the geometry of determinantal varieties associated to 2-bundles on P^n"

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] SUMIHIRO, Hideyasu: "A vanishing theorem for symmetric tensors of 2-bundles on P^n and its applications"

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] UMEMURA, Hiroshi: "Birational automorphism groups and the differential equation" Nagoya Math. J.119. 1-80 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] UMEMURA, Hiroshi: "Second proof of the irreducibility of the first differential equation of Painleve" Nagoya Math. J.117. 125-171 (1990)

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

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Published: 1993-03-16  

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