Hostname: page-component-77c89778f8-vpsfw Total loading time: 0 Render date: 2024-07-18T15:31:08.028Z Has data issue: false hasContentIssue false
  • English
  • Français

Subbundles of maximal degree

Published online by Cambridge University Press:  21 April 2004

MONTSERRAT TEIXIDOR I BIGAS
MONTSERRAT TEIXIDOR I BIGAS
Affiliation:
Mathematics Department, Tufts University, Medford MA 02155, U.S.A. e-mail: montserrat.teixidoribigas@tufts.edu
Get access Rights & Permissions [Opens in a new window]

Abstract

Let $C$ be a curve of genus $g$ and $E$ a generic (semistable) vector bundle of rank $r$ and degree $d$. Fix a rank $r'\,{<}\,r$ and a degree $d'$ for subsheaves $E'$ of $E$. If $r'd-rd'=r'(r-r')(g-1)$, the number of such subbundles is finite. We shall denote this number by $m(r,d,r',g)$.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 136 , Issue 3 , May 2004 , pp. 541 - 545
Copyright
2004 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)