Skip to main content
SpringerLink
Log in

Maximal subbundles of rank two vector bundles on curves

  • 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

References

  1. Gunning, R.C.: On the divisor order of vector bundles of rank 2 on a Riemann surface. Bull. Acad. Sinica6, 295–302 (1978)

    Google Scholar 

  2. Hartshorne, R.: Algebraic geometry. Graduate Texts in Mathematics, Vol. 52. Berlin, Heidelberg, New York: Springer 1977

    Google Scholar 

  3. Lange, H.: Kurven mit rationaler Abbildung. Crelles J.295, 80–115 (1977)

    Google Scholar 

  4. Lange, H.: Universal families of extensions. J. Algebra83, 101–112 (1983)

    Google Scholar 

  5. Lange, H.: Zur Klassifikation von Regelmannigfaltigkeiten. Math. Ann.262, 447–459 (1983)

    Google Scholar 

  6. Maruyama, M.: On classification of ruled surfaces. Lectures in Mathematics. Kyoto Univ. No. 3, Tokyo (1970)

  7. Mülich, G.: Familien holomorpher Vektorraumbündel über der projektiven Geraden und unzerlegbare holomorphe 2-Bündel über der projektiven Ebene. Dissertation, Göttingen (1974)

  8. Nagata, M.: On self intersection number of vector bundles of rank 2 on a Riemann surface. Nagoya Math. J.37, 191–196 (1970)

    Google Scholar 

  9. Nagata, M.: On ruled surfaces. Publ. Sém. Math. Sup.46, 27–48 (1971)

    Google Scholar 

  10. Segre, C.: Recherches générales sur les courbes et les surfaces réglés algébriques. II. Math. Ann.34, 1–25 (1889)

    Google Scholar 

  11. Stuhler, U.: Unterbündel maximalen Grades von Vektorbündeln auf algebraischen Kurven. Manuscripta Math.27, 313–321 (1979)

    Google Scholar 

  12. Atiyah, M.F.: Complex fibre bundles and ruled surfaces. Proc. London Math. Soc.5, 407–434 (1955)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut der Universität, Bismarckstrasse11/2, D-8520, Erlangen, Federal Republic of Germany

    H. Lange

  2. Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005, Bombay, India

    M. S. Narasimhan

Authors
  1. H. Lange
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. S. Narasimhan
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lange, H., Narasimhan, M.S. Maximal subbundles of rank two vector bundles on curves. Math. Ann. 266, 55–72 (1983). https://doi.org/10.1007/BF01458704

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01458704

Keywords

Search

Navigation