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1988 Fiscal Year Final Research Report Summary

Mathematics on Manifolds.

Research Project

Project/Area Number 61302001
Research Category

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

Allocation TypeSingle-year Grants
Research Field 代数学・幾何学
Research InstitutionTOHOKU UNIVERSITY

Principal Investigator

ODA Tadao Professor  Faculty of Science, Tohoku University, 理学部, 教授 (60022555)

Co-Investigator(Kenkyū-buntansha) SUMIHIRO Hideyasu Assis  Faculty of Science, Hiroshima University, 理学部, 助教授 (60068129)
KATO Kazuya Assistant p  Faculty of Science, University of Tokyo, 理学部, 助教授 (90111450)
MIYANISHI Masayoshi Pro  Faculty of Science, Osaka University, 理学部, 教授 (80025311)
UENO Kenji Professor  Faculty of Science, Kyoto University, 理学部, 教授 (40011655)
SHIODA Tetsuji Professo  Faculty of Science, Rikkyo University, 理学部, 教授 (00011627)
Project Period (FY) 1986 – 1988
KeywordsHodge theory / Singularity / Arithmetic algebraic geometry / Commutative algebra / Semigroup / Dynkin mathematics / 複素微分幾何
Research Abstract

1. The head investigator and the other investigators carried out research on respective themes on manifolds with the cooperation of other mathematicians.
2. We organized and held the following symposia on the themes which turned out to be worthwhile: (1) Workshops on Hodge srtuctures, period maps and the Torelli problen (the first and the third years). (2) symposium on analytic varieties and their singularities (the first year). (3) Symopsium on arithmetic algebraic geometry (the first year). (4) Algebraic geometry symposia (the first and the second year). (5) Symposium on the Painleve equations (the first year). (6) Symposia on differential geometry and complex differential gemetry (the second year). (7) Symposium on geometry and automorphic forms (the second year). (8) Symposium on Dynkin mathematics (the third year). (9) Symposium on mathematical physics and algebraic geometry (the second year). (10) Symposia on commutative algebra (the first, second and third years). (11) Symposia on semigroups (the first, second and third year).
3. We dispatched several mathmaticians to symposia in other fields in mathematics which are closely related to our interest.
4. The head investigator and the other investigators communicated with each other in person or by litters to collect information on possible themes of symposia which might be interesting and important.
We printed and distributed the proceedings of the symposia and workshops.

  • Research Products

    (51 results)

All Other

All Publications (51 results)

  • [Publications] Oda,Tadao: Algebrasi and Topologsial Theorik. 86-103 (1986)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Oda,Tadao: Advanced studiris in Pure Math. 8. 363-404 (1987)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] ODA,Tadao: Aduancld Studies in Pure Math. 10. 591-648 (1987)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] SHIODA,Tetsyi: Advanced Studres in Pure Math. 10. 591-648 (1987)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] SHIOD,Tetsuyi: J.Reine Augew Math. 381. 205-210 (1987)

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      「研究成果報告書概要(和文)」より
  • [Publications] SHIOD,Tetsuyi: Pror,Algibrari Gemetry Semirar,Singrpore. 95-102 (1988)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] KATSUR,Toshiyuri; UENO,Kenji: Algcdrari and Topolojical Theovis. 405-429 (1986)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] KATSUR,Toshiyuri; Shimizu,Yuyi; UENO,Kenji: Comm,Math Phys.

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] UENO,Kenji: J Math Kyoto Univ. 26. 483-491 (1986)

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      「研究成果報告書概要(和文)」より
  • [Publications] UENO,Kenji: Advanced Studies in Pure Math.10. 765-794 (1987)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] UENO,Kenji: Math Ann.278. 41-70 (1987)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] UENO,Kenji: Algcbraci Geometry and Comnoufatnie Algcbra. 749-770 (1988)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] MIYANISHI,Masayoshi: Algebraic and Topologricl Theries. 37-51 (1986)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] MIYANISHI,Masayoshi: Advanced Studies in Pure Math. 10. 415-447 (1987)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] MIYANISHI,Masayoshi; DHANG,D.-Q.: J.of Algebra. 118. 63-84 (1988)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] MIYANISHI,Masayoshi: Pror Algclraic Gemetry-Cemirar,Singapore. 53-67 (1988)

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      「研究成果報告書概要(和文)」より
  • [Publications] KATO,Kazaya: J.Reine Angew Math. 366. 42-186 (1986)

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      「研究成果報告書概要(和文)」より
  • [Publications] KATO,Kazaya: Contemporary Math. 55. 241-253 (1986)

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      「研究成果報告書概要(和文)」より
  • [Publications] KATO,Kazaya: Advanced Studies in Pure Math. 12. 315-342 (1987)

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      「研究成果報告書概要(和文)」より
  • [Publications] KATO,Kazaya: Contemporsry Math. 55. 255-331 (1986)

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      「研究成果報告書概要(和文)」より
  • [Publications] KATO,Kazaya; SAITO,Takeshi: Advanced Studris in Pure Math. 10. 207-251 (1987)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] KATO,Kazaya; SAITO,Takeshi: Duke Math J. 55. 629-659 (1987)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] SUMIHIRO,Hideyasu: Algebraei Geometry and Commuatnie Algebra. 713-748 (1988)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] SUMIHIRO,Hideyasu: Pror Algebraii Geometry Semirar,Singapore. 103-113 (1988)

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      「研究成果報告書概要(和文)」より
  • [Publications] ODA,Tadao: "Convex Bodies and Algebraic Geometry" Springer-Verlag, 220 (1988)

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      「研究成果報告書概要(和文)」より
  • [Publications] ODA.Tadao: "Introdiction to Algebraic Singnlarities" The Institute of Mathematical Sciences,Madras,

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] ODA, Tadao: "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] ODA, Tadao: "Infinitely very near singular points." Advanced Studies in Pure Math.8. 363-404 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] ODA, Tadao: "K. Saito's period map for holomorphic functions with isolated critical points." Advanced Studies in Pure Math.10. 591-648 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] SHIODA, Tetsuji: "Algebraic cycles on hypersurfaces in p^n" Advanced Studies in Pure Math.10. 717-732 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] SHIODA, Tetsuji: "Supersingular K3 surfaces with big Artin invariant." J. Reine Angew. Math.381. 205-210 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] SHIODA, Tetsuji: "Arithmetic and geometry of Fermat curves." Proc. Algebraic Geometry Seminar, Singapore. 95-102 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] KATSURA, Toshiyuki.; UENO, Kenji.: "Multiple singular fibers of type G_a of elliptic surfaces in characteristic p" Algebraic and Topological Theories. 405-429 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] KATSURA, Toshiyuki,; SHIMIZU, Yuji.; UENO, Kenji.: "New bosonization and conformal field theory over Z" Comm. Math. Phys.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] UENO, Kenji.: "Compact rigid analytic spaces --- with special regard to surfaces." Advanced Studies in Pure Math.10. 765-794 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] UENO, Kenji.: "On compact analytic threefolds with non-trivial Albanese tori." Math. Ann.278. 41-70 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] UENO, Kenji.: "Discriminants of curves of genus 2 and arithmetic surfaces." Algebraic Geometry and Commutative Algebra. 749-770 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] MIYANISHI, Masayoshi.: "Normal affine subalgebras of a polynomial ring." Algebraic and Topological Theories. 37-51 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] MIYANISHI, Masayoshi.: "Projective degenerations of surfaces according to S. Tsunoda." Advanced Studies in Pure Math.10. 415-447 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] MIYANISHI, Masayoshi,; ZHANG, D.-O.: "Gorenstein log del Pezzo surfaces of rank one." J. of Algebra. 118. 63-84 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] MIYANISHI, Masayoshi.: "Algebraic characterization of the affine 3-space." Proc. Algebraic Geometry Seminar, Singapore. 53-67 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] KATO, Kazuya.: "A Hasse principle for two dimensional global fields." J. Reine Angew. Math.366. 42-186 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] KATO, Kazuya.: "Milnor K-theory and the Chow group of zero cycles." Contemporary.Math.55. 241-253 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] KATO, Kazuya.: "Swan conductors with differential values." Advanced Studies in Pure Math.12. 315-342 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] KATO, Kazuya.; SAITO, Shuji: "Global class field theory for arithmetic schemes." Contemporary Math.55. 255-331 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] KATO, Kazuya.; SAITO, Takeshi: "On p-adic vanishing cycles (applications of ideas of Fontaine-Messing)." Advanced Studies in Pure Math.10. 207-251 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] KATO, Kazuya.; SAITO, Takeshi.: "Vanishing cycles, class field theory and ramification of valuations." Duke Math. J.55. 629-659 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] SUMIHIRO, Hideyasu.: "Elementary transformations of algebraic vector bundles, II" Algebraic Geometry and Commutative Algebra. 713-748 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] SUMIHIRO, Hideyasu.: "A construction method of algebraic vector bundles." Proc. Algebraic Geometry Seminar, Singapore. 103-113 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] ODA, Tadao.: Convex Bodies and Algebraic Geometry. Springer-Verlag, 220 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] ODA, Tadao.: Introduction to Algebraic Singularities. The Institute of Mathematical Sciences,

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

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Published: 1990-03-20  

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