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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: [email protected]
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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

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