Skip to main content
Log in

Groupe de Picard des variétés de modules de fibrés semi-stables sur les courbes algébriques

Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Bibliographie

  1. Drezet, J.-M.: Groupe de Picard des variétés de modules de faisceaux semi-stables sur ℂ. A paraitre aux Annales de l'institut Fourier

  2. Drezet, J.-M.: Fibrés exceptionnels et variétés de modules de faisceaux semi-stables sur ℙ2(ℂ). Z. Angew. Math. Mech.380, 14–58 (1987)

    Google Scholar 

  3. Drezet, J.-M.: Groupe de Picard des variétés de modules de faisceaux semi-stables sur ℙ2. Singularities, representation of algebras, and vector bundles. Proc. Lambrecht 1985. (Lect. Notes Math., Vol. 1273). Berlin-Heidelberg-New York: Springer 1987

    Google Scholar 

  4. Fulton, W.: Intersection theory. (Ergebnisse der Matheamtik und ihre Grenzgebiete). Berlin-Heidelberg-New York: Springer 1984

    Google Scholar 

  5. Gieseker, D.: On the moduli of vector bundles on an algebraic surface. Ann. Math.106, 45–60 (1977)

    Google Scholar 

  6. Grothendieck, A.: Technique de descente et théorèmes d'existence en géométrie algébrique. IV Les schémas de Hilbert. Séminaire Bourbaki221, (1960/61)

  7. Hartshorne, R.: Algebraic geometry. (Grad. Texts in Math., Vol. 52). Berlin-Heidelberg-New York: Springer 1977

    Google Scholar 

  8. Hirscowitz, A.: Problèmes de Brill-Noether en rang supérieur. Preprint

  9. Hirschowitz, A., Narasimhan, M.S.: Fibrés de t'Hooft spéciaux et applications. Enumerative geometry and Classical algebraic geometry. Progr. Math., Boston24, (1982)

  10. Hochster, M., Roberts, J.: Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay. Adv. Math.13, 115 (1974)

    Google Scholar 

  11. Kempf, G.: Hochster-Roberts theorem in invariant theory. Mich. Math. J.26, 19 (1979)

    Google Scholar 

  12. Lang, S.: Abelian varieties. New York: Interscience Publ. 1959

    Google Scholar 

  13. Maruyama, M.: Moduli of stable sheaves II. J. Math. Kyoto Univ.18, 557–614 (1978)

    Google Scholar 

  14. Matsumura, H.: Commutative algebra. New York: W.A. Benjamin Co. 1970

    Google Scholar 

  15. Mumford, D., Fogarty, J.: Geometric invariant theory. (Ergebnisse der Mathematikund ihre Grenzgebiete). Berlin-Heidelberg-New York: Springer 1984

    Google Scholar 

  16. Murthy, M.P.: A note on factorial rings. Arch. Math.15, 418–420 (1964)

    Google Scholar 

  17. Narasimhan, M.S., Ramanan, S.: Moduli of vector bundles on a compact Riemann surface. Ann. Math.89, 14–51 (1969)

    Google Scholar 

  18. Narasimhan, M.S., Ramanan, S.: Vector bundles on curves. (Proc. of Bombay Coll. of Algebraic Geometry, pp. 335–346.) Oxford Univ. Press 1969

  19. Newstead, P.E.: Introduction to moduli problems and orbit spaces. TIFR Lect. Notes51, (1978)

  20. Ramanan, S.: The moduli spaces of vector bundles on an algebraic curve. Math. Ann.200, 69–84 (1973)

    Google Scholar 

  21. Ramanathan, A.: Stable principal bundles on a compact Riemann surface, construction of moduli space. Ph.D. Thesis. Univ. of Bombay (1976)

  22. Reid, M.: Canonical 3-folds. Journées de Géométrie Algébrique d'Angers, edité par A. Beauville (1979) 273–310

  23. Seshadri, C.S.: Fibrés vectoriels sur les courbes algébriques. Astérisque96, (1982)

  24. Shafarevitch, I.R.: Basic algebraic Geometry. (Grundlehren, Bd. 213). Berlin-Heidelberg-New York: Springer 1974

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Drezet, J.M., Narasimhan, M.S. Groupe de Picard des variétés de modules de fibrés semi-stables sur les courbes algébriques. Invent Math 97, 53–94 (1989). https://doi.org/10.1007/BF01850655

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01850655

Navigation