Geodesic
Maximal Subbundles of Rank 2 Vector Bundles on Projective Curves
Canadian mathematical bulletin, Tome 43 (2000) no. 2, pp. 129-137

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DOI

Let $E$ be a stable rank 2 vector bundle on a smooth projective curve $X$ and $V\,\left( E \right)$ 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 $\deg \left( E \right)$ and $\deg \left( L \right),\,L\,\in \,V\left( E \right)$ and such that $\text{card}\,\left( V(E) \right)\,\ge \,2\,(\text{resp}\text{. card}\left( V(E) \right)\,=\,2)$ .
DOI : 10.4153/CMB-2000-020-2
Mots-clés : 14H60 
Ballico, E. Maximal Subbundles of Rank 2 Vector Bundles on Projective Curves. Canadian mathematical bulletin, Tome 43 (2000) no. 2, pp. 129-137. doi: 10.4153/CMB-2000-020-2
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     author = {Ballico, E.},
     title = {Maximal {Subbundles} of {Rank} 2 {Vector} {Bundles} on {Projective} {Curves}},
     journal = {Canadian mathematical bulletin},
     pages = {129--137},
     year = {2000},
     volume = {43},
     number = {2},
     doi = {10.4153/CMB-2000-020-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-020-2/}
}
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