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# Maximal Subbundles of Rank 2 Vector Bundles on Projective Curves

Published:2000-06-01
Printed: Jun 2000
• E. Ballico
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## 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 $\deg(L)$, $L \in V(E)$ and such that $\card \bigl( V(E) \bigr) \geq 2$ (resp. $\card \bigl( V(E) \bigr) = 2$).
 MSC Classifications: 14H60 - Vector bundles on curves and their moduli [See also 14D20, 14F05]