Skip to main content Accesibility Help
×
×
Home

Maximal Subbundles of Rank 2 Vector Bundles on Projective Curves

  • E. Ballico (a1)
Abstract

Let E be a stable rank 2 vector bundle on a smooth projective curve X and V(E) be the set of all rank 1 subbundles of E with maximal degree. Here we study the varieties (non-emptyness, irreducibility and dimension) of all rank 2 stable vector bundles, E, on X with fixed deg(E) and deg(L), LV(E) and such that .

    • Send article to Kindle

      To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      Maximal Subbundles of Rank 2 Vector Bundles on Projective Curves
      Available formats
      ×
      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

      Maximal Subbundles of Rank 2 Vector Bundles on Projective Curves
      Available formats
      ×
      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

      Maximal Subbundles of Rank 2 Vector Bundles on Projective Curves
      Available formats
      ×
Copyright
References
Hide All
[1] Accola, R. D. M., Topics in the Theory of Riemann Surfaces. Lecture Notes in Math. 1595, Springer-Verlag, 1994.
[2] Arbarello, E. and Cornalba, M., Footnotes to a paper by Beniamino Segre. Math. Ann. 256(1981), 341362.
[3] Arbarello, E., Cornalba, M., Griffiths, Ph. and Harris, J., Geometry of Algebraic Curves. Vol. I, Grundlehren Math.Wiss. 267, Springer-Verlag, 1985.
[4] Butler, D. C., Families of maximal subbundles of rank two bundles on a curve. Math. Ann. 307(1997), 2939.
[5] Fulton, W. and Lazarsfeld, R., On the connectedness of degeneracy loci and special divisors. Acta Math. 146(1981), 271283.
[6] Ghione, F., Quelques résultats de Corrado Segre sur les surfaces réglées. Math. Ann. 255(1981), 7795.
[7] Gieseker, D., Stable curves and special divisors. Invent.Math. 66(1982), 251275.
[8] Gunning, R. C., Lectures on Riemann Surfaces: Jacobi varieties. Mathematical Notes 12, Princeton University Press, 1972.
[9] Hirschowitz, A., Rank techniques and jump stratifications. In: Vector bundles on Algebraic Varieties, Proc. Bombay 1984, Oxford University Press, 1987, 159205.
[10] Lange, H., Higher secant varieties on curves and the theorem of Nagata on ruled surfaces. Manuscripta Math. 47(1984), 263269.
[11] Lange, H., Höhere Sekantenvarietäten und Vektorbündel auf Kurven. Manuscripta Math. 52(1985), 6380.
[12] Lange, H. and Narasimhan, M. S., Maximal subbundles of rank two vector bundles on curves. Math. Ann. 266(1983), 5572.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Canadian Mathematical Bulletin
  • ISSN: 0008-4395
  • EISSN: 1496-4287
  • URL: /core/journals/canadian-mathematical-bulletin
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax

Keywords

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed