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Maximal Subbundles of Rank 2 Vector Bundles on Projective Curves |
Canad. Math. Bull. 43(2000), 129-137
Published:2000-06-01
Printed: Jun 2000
Printed: Jun 2000
- E. Ballico
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] |