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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)
永田 雅宜  京都大学, 理学部, 教授 (00025230)
森 重文  名古屋大学, 理学部, 教授 (00093328)
Project Period (FY) 1989 – 1991
Project Status Completed (Fiscal Year 1991)
Budget Amount *help
¥12,900,000 (Direct Cost: ¥12,900,000)
Fiscal Year 1991: ¥4,200,000 (Direct Cost: ¥4,200,000)
Fiscal Year 1990: ¥4,200,000 (Direct Cost: ¥4,200,000)
Fiscal Year 1989: ¥4,500,000 (Direct Cost: ¥4,500,000)
KeywordsAlgebraic Variety / Vector Bundle / Calabi-Yau Manifold / Hodge Theory / Period Mapping / Commutative Algebra / Singularity / CalabiーYou多様体 / 代数群 / ア-ベル多様体 / 半群 / 代数曲面 / 3次元代数多様体 / 算術的代数多様体 / Hodge(ホッヂ)理論 / 共形場理論
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.

Report

(4 results)
  • 1991 Annual Research Report   Final Research Report Summary
  • 1990 Annual Research Report
  • 1989 Annual Research Report
  • Research Products

    (162 results)

All Other

All Publications (162 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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [Publications] MORI,Shigefumi: "Classification of three-dimensional flips"

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [Publications] MIYANISHI, Masayoshi: "Gorenstein del Pezzo surfaces, II" J. Algebra.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [Publications] MARUYAMA, Masaki: "Moduli of parabolic stable bundles" Math. Ann.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [Publications] MORI, Shigefumi: "Classification of three-dimensional flips"

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [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
    • Related Report
      1991 Final Research Report Summary
  • [Publications] MIYANISHI,Masayoshi: "Homology planes with quotient singularities" Journal of Mathematics,Kyoto University. 31. 755-788 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] MIYANISHI,Masayoshi: "Gorenstein del Pezzo surfaces,II" Journal of Algebra. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] GURJAR,R.V.: "Affine lines on logarithmic Qーhomology planes" Mathematische Annalen.

    • Related Report
      1991 Annual Research Report
  • [Publications] ODA,Tadao: "Simple convex polytopes and the strong Lefschetz theorem" Journal of pure and Applied Algebra. 71. 265-286 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] ODA,Tadao: "Linear Gale transforms and GelfandーKapranovーZelevinskij decompositions" Tohoku Mathematical Journal. 43. 375-399 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] KITAOKA,Yoshiyuki: "A note on representation of positive definite binary quadratic forms by positive definite quadratic forms in 6 variables" Acta Arithmetica. 54. 317-322 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] KITAOKA,Yoshiyuki: "A note on Klingen's Eisenstein series" Abh.Math.Sem.Univ.Hamburg. 60. 95-114 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] MARUYAMA,Masaki: "On compactifications of the moduli space of instantons" International Journal of Mathematics. 1. 431-477 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] MARUYAMA,Masaki: "Moduli of parabolic stable bundles" Mathematische Annalen. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] KATSURA,Toshiyuki: "New besonization and conformal field theory over Z" Commun.Mathematical Physics. 121. 603-627 (1989)

    • Related Report
      1991 Annual Research Report
  • [Publications] KAWAMATA,Yuujiro: "On the length of an extremal rational curve" Inventiones Mathematicae. 105. 609-611 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] KAWAMATA,Yuujiro: "Unobstructed deformationsーa remark on a paper of Z.Ran" Journal of Algebraic Geometry. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] SUWA,Tatsuo: "Dーmodules associated to complex analytic singular foliations" J.Fac.Sci.Univ.Tokyo Sect.IA Math.37. 297-320 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] SUWA,Tatsuo: "Finite determinacy of analytic foliation germs without formal integrating factors" Proc.Amer.Math.Soc.112. 989-997 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] FUJITA,Takao: "On singular Del Pezzo varieties" Proceedings of L'Aquilla meeting in Algebraic Geometry,Lecture Notes in Mathematics. 1417. 117-128 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] FUJITA,Takao: "On Del Pezzo fibrations over curves" Osaka Journal of Mathematics. 27. 229-245 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] SHIODA,Tetsuji: "MordellーWeil lattices of type E_8 and deformation of singularities" Lecture Notes in Mathematics. 1468. 177-202 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] SHIODA,Tetsuji: "An infinite family of elliptic curves over Q with large rank via Neron's method" Inventiones Mathematicae. 106. 109-119 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] IITAKA,Shigeru: "Group theory through computer programming" Proceedings of ICMIーCHINA Regional Conference on Mathematical Education. 3-24 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] WATANABE,Keiichi: "Regular Zーgraded rings" Proc.Fac.Sci.Tokai Univ.25. 1-8 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] WATANABE,Keiichi: "Fーreguler and Fーpure normal graded rings" J.Pure Appl.Algebra. 71. 341-350 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] MORI,Shigefumi: "Classification of threeーdimensional flips"

    • Related Report
      1991 Annual Research Report
  • [Publications] NAGATA,Masayoshi: "A proof of the theorem of EakinーNagata" Proc.Japan Acad.67. 238-239 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] NAGATA,Masayoshi: "Some questions on euclid rings" Proc.Conf.Ordered Structure and Alg.Comput.Languages,Hong Kong 1991.

    • Related Report
      1991 Annual Research Report
  • [Publications] MABUCHI,Toshiki: "Compactification of the moduli space of Einstein Kahler orbifolds" Adv.Stud.Pure Math.18. 359-384 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] MABUCHI,Toshiki: "Compactification of the moduli space of quartic del pezzo surfaces" Lecture Notes in Mathematics.

    • Related Report
      1991 Annual Research Report
  • [Publications] SUMIHIRO,Hideyasu: "On the geometry of determinantal varieties associated to 2ーbundles on P^n"

    • Related Report
      1991 Annual Research Report
  • [Publications] SUMIHIRO,Hideyasu: "A vanishing theorem for symmetric tensors of 2ーbundles on P^n and its applications"

    • Related Report
      1991 Annual Research Report
  • [Publications] UMEMURA,Hiroshi: "Birational automorphism groups and the differential equations" Nagoya Math.Journal. 119. 1-80 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] UMEMURA,Hiroshi: "Second proof of the irreducibility of the first differential equation of Painleve" Nagoya Math.Journal. 117. 125-171 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] FUJITA,Takao: "Classification Theories of Polarized Varieties" Cambridge University Press, 205+xiv (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] MIYANISHI,Masayoshi: "Finite group scheme actions on the affine plane" Journal of pure and applied algebra. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] MIYANISHI,Masayoshi: "Qーhomology planes with C^<**>ーfibrations" Osaka Journal of Mathematics. 28. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] MIYANISHI,Masayoshi: "Absence of the affine line on the homology planes" Journal of Mathematics,Kyoto University.

    • Related Report
      1990 Annual Research Report
  • [Publications] ODA,Tadao: "Simple convex polytopes and the strong Lefschetz theorem" Journal of pure and applied algebra. (1991)

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  • [Publications] ODA,Tadao: "Linear Gale transforms and Gelfand Kapranov Zelevinskij decompositions" Tohoku Math.J.

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  • [Publications] MORI,Shigefumi: "Birational classification of algebraic 3ーfolds;Announcement" American J.Mathematics.

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  • [Publications] MARUYAMA,Masaki: "On compactifications of the moduli space of instantons" International J.Mathematics. (1991)

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  • [Publications] MARUYAMA,Masaki: "Limits of instantons"

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  • [Publications] KAWAMATA,Yujiro: "Small contractions of four dimensional algebraic manifolds" Math.Ann.284. 595-600 (1989)

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  • [Publications] KAWAMATA,Yujiro: "Boundedness of QーFano threefolds" Contemporary Mathematics. (1991)

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  • [Publications] SHIODA,Tetsuji: "MordellーWeil lattices and sphere packings" Amer.J.Math.

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  • [Publications] SHIODA,Tetsuji: "Construction of elliptic curves over Q(t) with high rank via the invariants of the Weyl groups" Proc.Japan Acad.(1990)

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  • [Publications] KITAOKA,Yoshiyuki: "Some remarks on representations of positive definite quadratic forms" Nagoya Math.J.115. 23-41 (1989)

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  • [Publications] KITAOKA,Yoshiyuki: "A result on qーseries and its application to quadratic forms" J.Number Theory. 34. 54-62 (1990)

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  • [Publications] MUKAI,Shigeru: "Polarized K3 surfaces of genus 18 and 20" Proc.of the conference on Vector bundles and Special projective embeddings,Bergen.

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  • [Publications] MUKAI,Shigeru: "Fano 3ーfolds" Proc.of the conference on Projective Geometry,Trieste 1989.

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  • [Publications] UENO,Kenji: "Conformal field theory on universal family of stable curves with gauge symmetries" Advanced Studies in Pure Mathematics. 19. 459-565 (1989)

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  • [Publications] UENO,Kenji: "Formal groups and conformal field theory over Z" Advanced Studies in Pure Mathematics. 19. 347-366 (1989)

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  • [Publications] NAGATA,Masayoshi: "Some remarks on the twoーdimensional Jacobian conjecture" Chinese J.Math.17. 1-7 (1989)

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  • [Publications] NAGATA,Masayoshi: "Some questions on Z[√<14>]" Proc.of the conference on Algebraic Geometry and its appl.in honor of Prof.Abhyankar.

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  • [Publications] MABUCHI,Toshiki: "An algebraic character associated with the Poisson brackets" Advanced Studies in Pure Mathematics. 18. 339-358 (1990)

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  • [Publications] MABUCHI,Toshiki: "Compactification of the moduli space of Einstein Ka^^¨hler orbifolds" Advanced Studies in Pure Mathematics. 18. 359-384 (1990)

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  • [Publications] UMEMURA,Hiroshi: "Second proof of the irreducibility of the first differential equation of Painleve^^´" Nagoya Math.J.117. 125-171 (1990)

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  • [Publications] UMEMURA,Hiroshi: "Birational automorphism groups and the differential equations" Nagoya Math.J.119. 1-80 (1990)

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  • [Publications] SUMIHIRO,Hideyasu: "On the geometry of determinantal varieties associated to 2ーbundles on P^n"

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  • [Publications] WATANABE,Keiichi: "Regular Zーgraded rings" Proc.Fac.Sci.Tokai Univ.25. (1990)

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  • [Publications] FUJITA,Takao: "On Del Pezzo fibrations over curves" Osaka J.Math.27. 229-245 (1990)

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  • [Publications] ENDO,Shizuo: "Nonーrationality of algebraic tori of norm type and its application to generic division rings" Proc.Symp.Ring Theory. 22. 17-22 (1989)

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  • [Publications] KATO,Kazuya: "Logarithmic structures of FontaineーIllusie" Amer.J.Math.

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  • [Publications] SUWA,Tatsuo: "Determinacy of complex analytic foliation germs without integrating factors" Proc.Amer.Math.Soc.

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  • [Publications] 宮西 正宜: "代数幾何学" 裳華房,数学選書10, (1990)

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  • [Publications] ODA,Tadao: "Introduction to Algebraic Singularities (with Taichi Ambai)" The Institute of Mathematical Sciences Lecture Notes 2, (1991)

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  • [Publications] FUJITA,Takao: "Classification Theories of Polarized Varieties" Cambridge Univ.Press London Math.Soc.Lecture Note Series 155, (1990)

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  • [Publications] 飯高 茂: "Prologで作る数学の世界" 朝倉書店, (1990)

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  • [Publications] MIYANISHI,Masayoshi: "Finite equivalence relations on algebric varieties" Journal of pure and applied algebra. 57. 83-91 (1989)

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  • [Publications] MIYANISHI,Masayoshi: "Homology planes with quotient singularities" J.Math.Kyoto.Univ.

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  • [Publications] MIYANISHI,Masayoshi: "Q-homology planes with C^<**>-fibrations" Osaka J.Math.

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  • [Publications] ODA,Tadao: "Simple convex polytopes and the strong Lefschetz theorem" J.Pure Appl.Algebra,special issue dedicated to Professor Hideyuki Matsumura on his sixtieth birthday. (1990)

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  • [Publications] ODA,Tadao: "Geometry of toric varieties" Proc.Intern.Conf.on Algebraic Groups and Applications,Univ.of Hyderabad 1989.

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  • [Publications] ODA,Tadao: "Linear Gale transforms and Gelfand-Kapranov-Zelevinskij decompositions"

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  • [Publications] MORI,Shigefumi: "Flips in families"

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  • [Publications] KITAOKA,Yoshiyuki: "Forier coefficients of certain Eisenstein series" Proc.of Japan Acad.65. 253-255 (1989)

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  • [Publications] KITAOKA,Yoshiyuki: "Some remarks on representations of positive definite quadratic forms" Nagoya Math.J.115. 23-41 (1989)

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  • [Publications] MUKAI,Shigeru: "Bireqular classification of Fano threefolds and Fano manifolds of coindex 3" Proc.Nat.Acad.Sci.USA. 86. 3000-3002 (1989)

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  • [Publications] YASHINO,Yuji: "Modules with Linear resolution over a polynomial ring in two variables" Nagoya Math.J.113. 89-98 (1989)

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  • [Publications] HIBI,Takayuki: "What can be said about pure O-sequences?" J.Combin.Theory,Ser.A. 50. 319-322 (1989)

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  • [Publications] KATSURA,Toshiyuki: "New bosonization and conformal field theory" Commun.Math.Phys.121. 603-627 (1989)

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  • [Publications] TSUCHIYA,Akihiro: "Coformal field theory on moduli family of stable curves with gauge symmetries" Advanced studies in pure math.19. 459-565 (1989)

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  • [Publications] KATSURA,Toshiyuki: "Formal groups and conformal field theory over Z" Advanced studies in pure math.19. 347-366 (1989)

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  • [Publications] NAGATA,Masayoshi: "Some remarks on the two-dimensional Jacobian Conjecture" Chinese Journ.of Math.17. 1-7 (1989)

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  • [Publications] HIJIKATA,Hiroaki: "Orders in quaternion algebras" J.reine angew.Math.394. 59-106 (1989)

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  • [Publications] MARUYAMA,Masaki: "On compactifications of moduli space of instantons"

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  • [Publications] MARUYAMA,Masaki: "Limits of instantons"

    • Related Report
      1989 Annual Research Report
  • [Publications] KAWAMATA,Yujiro: "Small contractions of four dimensional algebraic maniforlds" Math.Ann.284. 595-600 (1989)

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  • [Publications] KAWAMATA,Yujiro: "Boundedness of Q-Fano threefolds"

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  • [Publications] KAWAMATA,Yujiro: "Moderate degenerations of algebraic surfaces"

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  • [Publications] FUJITA,Takao: "On Del Pezzo fibrations over curves" Osaka J.Math.27. (1990)

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  • [Publications] FUJITA,Takao: "On adjoint bundles of ample vector bundles"

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  • [Publications] SHIODA,Tetsuji: "Mordell-Weil Lattices and Galois representations I,II,III" Proc.Japan Acad.65A. 268-271,296-303 (1989)

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  • [Publications] SHIODA,Tatsuji: "Construction of elliptic curves over Q(t)with high rank" Proc.Japan Acad.(1990)

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  • [Publications] SUMIHIRO,Hideyasu: "On the geometry of determinantal varieties associated to 2-bundles on P^n"

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  • [Publications] UMEMURA,Hiroshi: "Second proof of the irreducibility of the first differential equation of Painleve" Nagoya Math.J.117. (1990)

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  • [Publications] SUWA,Tatsuo: "D-modules associated to complex analytic singular foliations"

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  • [Publications] SUWA,Tatsuo: "Determinancy of complex analytic foliations germs without intergrating factors"

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  • [Publications] ENDO,Sizuo: "Non-rationality of algebric tori of norm type and its application to generic division rings" Proc.Symp.Ring.theory. 22. 17-22 (1989)

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  • [Publications] WATANABE,Keiichi: "Filtered rings,filtered blowing-ups and normal two-dimensional singularities with star-shaped resolution" Publ.RIMS Kyoto Univ.25. 681-740 (1989)

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  • [Publications] WATANABE,Keiichi: "Regular Z-granded rings" Proc.Fac.Science,Tokai Univ.25. (1990)

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  • [Publications] 宮西正宜: "代数幾何学入門" 裳華房, 350 (1990)

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  • [Publications] ODA,Tadao: "Introduction to Algebraic singularities"

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  • [Publications] YOSHINO,Yuji: "Theory of Cohen-Macauray modules over Hensel CM rings" Cambridge University Press,

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  • [Publications] HIJIKATA,Hiroaki: "The basis problem for from on P_o(N)" American Mathematical Society(Memoris of Amer.Math.Soc.Vol.82), (1989)

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Published: 1989-04-01   Modified: 2016-04-21  

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