Skip to main content
Log in

Fibrés vectoriels semi-stables sur une courbe de Mumford

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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.

Bibliographie

  1. Atiyah, M.F.: Vector bundles over an elliptic curve. Proc. London Math. Soc.7, 414–452 (1957)

    Google Scholar 

  2. Bosch, S.: Zur kohomologietheorie rigid analytischer Räume. Manuscripta math.20, 1–27 (1977)

    Google Scholar 

  3. Bosch, S., Güntzer, U., Remmert, R.: Non-archimedean analysis. Springer 1984

  4. Bourbaki, N.: Algèbre ch. 10. Paris: Masson 1980

    Google Scholar 

  5. Faltings, G.: Semi-stable vector bundles on Mumford curves. Invent. Math.73, 199–212 (1983)

    Google Scholar 

  6. Fresnel, J., van der Put, M.: Géométrie analytique rigide et applications. P.M. 18. Basel, Boston, Stuttgart: Birkhäuser 1981

    Google Scholar 

  7. Gerritzen, L., van der Put, M.: Schottky groups and Mumford curves. Lect. Notes Math. 817. Berlin, Heidelberg, New York: Springer 1980

    Google Scholar 

  8. Grothendieck, A.: Sur la classification des fibrés holomorphes sur la sphère de Riemann. Am. J. Math.79, 121–138 (1957)

    Google Scholar 

  9. Hartshorne, R.: Four years of algebraic vector bundles 1975–1979. Journées de Géométrie Algébrique, Angers 1979, Beauville, A. (éd.). Alphen an de Rijn: Sijthoff-Noordhooff 1980

    Google Scholar 

  10. Monna, A.F.: Analyse non archimédienne. Berlin, Heidelberg, New York: Springer 1970

    Google Scholar 

  11. Mumford, D.: An analytic construction of degenerating curves over complete local rings. Compositio Math.24, 129–174 (1972)

    Google Scholar 

  12. Mumford, D.: Projective invariants of projective structures and applications. Proc. I.C.M. 526–530 (1962)

  13. Mumford, D., Fogarty, J.: Geometric invariant theory. 2nd enl. ed: Berlin, Heidelberg, New York: Springer 1982

    Google Scholar 

  14. Narasimhan, M.S., Seshadri, C.S.: Stable and unitary vector bundles on a compact Riemann surface. Ann. Math.82, 540–567 (1965)

    Google Scholar 

  15. Okonek, C., Schneider, M., Spindler, H.: Vector bundles on complex projective spaces, P.M. 3. Basel, Boston, Stuttgart: Birkhäuser 1980

    Google Scholar 

  16. Serre, J.-P.: Arbres, amalgames,SL 2 . Astérisque46 (1977)

  17. Seshadri, C.S.: Space of unitary vector bundles on a compact Riemann surface. Ann. Math.85, 303–336 (1967)

    Google Scholar 

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

  19. van de Ven, A.: Twenty years of classifying algebraic vector bundles. Journées de Géométrie Algébrique, Angers 1979, Beauville, A. (éd.). Alphen an de Rijn: Sijthoff-Noordhooff 1980

    Google Scholar 

  20. Weil, A.: Géneralisation des fonctions abéliennes. J. Math. Pures Appl.17, 47–87 (1983)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

van der Put, M., Reversat, M. Fibrés vectoriels semi-stables sur une courbe de Mumford. Math. Ann. 273, 573–600 (1986). https://doi.org/10.1007/BF01472132

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01472132

Navigation