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Elementary transformations in the theory of algebraic vector bundles

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Algebraic Geometry

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 961))

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References

  1. W. Barth, Some properties of stable rank-2 vector bundles on Pn, Math. Ann., 226, 1977, 125–150.

    Article  MathSciNet  MATH  Google Scholar 

  2. W. Barth, Moduli of vector bundles on the projective plane, Invent. Math., 42, 1977, 63–91.

    Article  MathSciNet  MATH  Google Scholar 

  3. R. Hartshorne, Stable vector bundles of rank 2 on P3, Math. Ann., 238, 1978, 229–280.

    Article  MathSciNet  MATH  Google Scholar 

  4. S. L. Kleiman, Geometry on Grassmannians and applications to splitting bundles and smoothing cycles, Publ. Math. I.H. E.S., 36, 1969, 281–298.

    Article  MathSciNet  MATH  Google Scholar 

  5. S. Langton, Valuative criteria for families of vector bundles on algebraic varieties, Ann. of Math., 101, 1975, 88–110.

    Article  MathSciNet  MATH  Google Scholar 

  6. M. Maruyama, On a family of algebraic vector bundles, Number Theory, Algebraic Geometry and Commutative Algebra, in honor of Y. Akizuki, Kinokuniya, Tokyo, 1973, 95–146.

    Google Scholar 

  7. M. Maruyama, Stable vector bundles on an algebraic surface, Nagoya Math. J., 58, 1975, 25–68.

    Article  MathSciNet  MATH  Google Scholar 

  8. M. Maruyama, Openness of a family of torsion free sheaves, J. Math. Kyoto Univ., 16, 1976, 627–637.

    MathSciNet  MATH  Google Scholar 

  9. M. Maruyama, Moduli of stable sheaves, II, J. Math. Kyoto Univ., 18, 1978, 557–614.

    MathSciNet  MATH  Google Scholar 

  10. M. Maruyama, On boundedness of families of torsion free sheaves, to appear in J. Math. Kyoto Univ..

    Google Scholar 

  11. M. S. Narasimhan and S. Ramanan, Deformations of the moduli space of vector bundles on curves, Ann. of Math., 101, 1975, 391–417.

    Article  MathSciNet  MATH  Google Scholar 

  12. M. S. Narasimhan and S. Ramanan, Geometries of Hecke cycles — I, C. P. Ramanujam — A Tribute, Springer, Berlin-Heidelberg-New York, 1978, 291–345.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics Faculty of Science, Kyoto University, 606, Kyoto, Japan

    Masaki Maruyama

Authors
  1. Masaki Maruyama
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José Manuel Aroca Ragnar Buchweitz Marc Giusti Michel Merle

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© 1982 Springer-Verlag

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Maruyama, M. (1982). Elementary transformations in the theory of algebraic vector bundles. In: Aroca, J.M., Buchweitz, R., Giusti, M., Merle, M. (eds) Algebraic Geometry. Lecture Notes in Mathematics, vol 961. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071286

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  • DOI: https://doi.org/10.1007/BFb0071286

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11969-2

  • Online ISBN: 978-3-540-39367-2

  • eBook Packages: Springer Book Archive

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