Skip to main content
SpringerLink
Log in

Les fibrés uniformes de rang 3 sur ℙ2(ℂ) sont homogènes

  • 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

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Bibliographie

  1. Adams, J., Griffiths, P.: Topics in algebraic and analytic geometry. Princeton: Princeton University Press 1974

    Google Scholar 

  2. Atiyah, M.F.: Complex analytic connections in fibre bundles. Trans. American Math. Soc.85, 181–207 (1957)

    Google Scholar 

  3. Barth, W.: Some properties of stable rank-2 vector bundles on P n . Math. Ann.226, 125–150 (1977)

    Google Scholar 

  4. Bott, R.: Homogeneous vector bundles. Ann. of Math.66, 203–248 (1957)

    Google Scholar 

  5. Brieskorn, E.: Über holomorphe P n -Bündel über P1. Math. Ann.157, 343–357 (1965)

    Google Scholar 

  6. Grauert, H., Mülich, G.: Vektorbündel vom Rang 2 über demn-dimensionalen komplex-projektiven Raum. Manuscr. Math.16, 75–100 (1975)

    Google Scholar 

  7. Grothendieck, A.: Sur la classification des fibrés holomorphes sur la sphère de Riemann. Amer. J. Math.79, 121–138 (11956)

    Google Scholar 

  8. Hartshorne, R.: Ample vector bundles. Publ. Math. I.H.E.S.27, 319–350 (1965)

    Google Scholar 

  9. Hirzebruch, F.: Topological Methods in Algebraic Geometry. 3rd ed. Berlin, Heidelberg, New York: Springer 1966

    Google Scholar 

  10. Husemoller, D.: Fibre Bundles. 2nd ed. Berlin, Heidelberg, New York: Springer 1966

    Google Scholar 

  11. Mumford, D.: Abelian varieties. Oxford: Oxford University Press 1970

    Google Scholar 

  12. Sato, E.: Uniform vector bundles on a projective space. J. Math. Soc. Japan28, 123–132 (1976)

    Google Scholar 

  13. Schwarzenberger, R.L.E.: Vector bundles on algebraic surfaces. Proc. London Math. Soc.11, 601–622 (1961)

    Google Scholar 

  14. Schwarzenberger, R.L.E.: Vector bundles on the projective plane. Proc. London Math. Soc.11, 623–640 (1961)

    Google Scholar 

  15. Van de Ven, A.: On uniform vector bundles. Math. Ann.195, 245–248 (1972)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Département de Mathématique, Université de Nice, I.M.S.P, F-06034, Nice-Cedex, France

    G. Elencwajg

Authors
  1. G. Elencwajg
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Je voudrais remercier A. Van de Ven qui m'a proposé ce problème et l'a éclairci par de nombreuses conversations. W. Barth a crucialement contribué à deux reprises à la conception de ce travail: qu'il sache l'étendue de ma gratitude pour sa généreuse contribution.

Enfin, cet article a été partiellement élaboré lors d'un séjour à Leiden, subventionné par le Z.W.O. que je remercie ici.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Elencwajg, G. Les fibrés uniformes de rang 3 sur ℙ2(ℂ) sont homogènes. Math. Ann. 231, 217–227 (1978). https://doi.org/10.1007/BF01420242

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01420242

Search

Navigation