Advertisement

Fibres de ’t Hooft Speciaux et Applications

  • A. Hirschowitz
  • M. S. Narasimhan
Part of the Progress in Mathematics book series (PM, volume 24)

Résumé

On s’intéresse aux fibrés vectoriels algébriques de rang deux sur un espace projectif de dimension deux ou trois sur un corps de base algébriquement clos.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliographie

  1. [1]
    W. Barth Moduli of vector bundles on the projective plane, Invent. Math. 42 (1977), 63–91.MathSciNetzbMATHCrossRefGoogle Scholar
  2. [2]
    N. Bourbaki Eléments de Mathématiques, Formes sesquilinéaires et formes quadratiques, Hermann, Paris, 1959.Google Scholar
  3. [3]
    P. Deligne Quadriques, Exposé XII, Groupe de monodromie en géométrie algébrique, S.G.A. VII, Springer Lecture Notes 340 (1977).Google Scholar
  4. [4]
    G. Ellingsrud and S.A. Stromme On the moduli space of vector bundles of rank two on IP3 with c1 odd. Preprint Oslo 1979.Google Scholar
  5. [5]
    J R. Hartshorne Algebraic Geometry, Graduate texts in mathematics 52, Springer 1977.Google Scholar
  6. [6]
    R. Hartshorne Stable vector bundles of rank 2 on IP3, Math. Ann. 238 (1978), 229–280.MathSciNetzbMATHCrossRefGoogle Scholar
  7. [7]
    K. Hulek Stable Rank-2 Vector Bundles on IP2 with c1 Odd, Math. Ann. 242, 241–266 (1979).MathSciNetCrossRefGoogle Scholar
  8. [8]
    J. Le Potier Fibrés stables de rang 2 sur IP2(ℂ), Math. Ann. 241 (1979), 217–256.MathSciNetzbMATHCrossRefGoogle Scholar
  9. [9]
    M. Maruyama Moduli of stable sheaves II, J. Math. Kyoto Univ. 18 (1978), 557–614.MathSciNetzbMATHGoogle Scholar
  10. [10]
    M.S. Narasimhan Vector bundles on curves, In algebraic and S. Ramanan Geometry (papers presented in the Bombay Colloquim 1968 ) ( O.U.P. India 1969 ), 335–346.Google Scholar
  11. [11]
    P.E. Newstead Rationality of moduli spaces of stable bundles, Math. Ann. 215 (1975), 251–268. Correction: Math. Ann. 249 (1980), 281–282.MathSciNetCrossRefGoogle Scholar
  12. [12]
    P.E. Newstead Comparison theorem for conic bundles, Math. Proc. Camb. Phil. Soc. 90 (1981), 21–31.CrossRefGoogle Scholar
  13. [13]
    P.E. Newstead On the cohomology and the Picard group of a moduli space of bundles on IP3, soumis au Quarterly J. Math.Google Scholar
  14. [14]
    P.E. Newstead Pencils on conic bundles. Preprint Liverpool 1982.Google Scholar
  15. [15]
    S. Ramanan The moduli spaces of vector bundles over an algebraic curve, Math. Ann. 200 (1973) 69–84.MathSciNetzbMATHCrossRefGoogle Scholar
  16. [16]
    L. Roth Algebraic threefolds, Springer, 1955.zbMATHGoogle Scholar
  17. [17]
    J.P. Serre Espaces fibrés algébriques, Exposé 1, Séminaire Chevalley, 1958.Google Scholar

Copyright information

© Birkhäuser Boston, Inc. 1982

Authors and Affiliations

  • A. Hirschowitz
    • 1
  • M. S. Narasimhan
    • 2
  1. 1.Département de MathématiquesI.M.S.P.Nice CedexFrance
  2. 2.Tata Institute of Fundamental ResearchBombayInde.

Personalised recommendations