In this paper we study the Brill Noether locus of rank 2, (semi)stable vector bundles with at least two sections and of suitable degrees on a general ν-gonal curve. We classify its irreducible components having at least expected dimension. We moreover describe the general member F of such components just in terms of extensions of line bundles with suitable "minimality properties", providing information on the birational geometry of such components as well as on the very-ampleness of F.
Choi, Y., Flamini, F., Kim, S. (2018). Brill-Noether loci of rank-two vector bundles on a general n-gonal curve. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 146(8), 3233-3248 [10.1090/proc/14093].
Brill-Noether loci of rank-two vector bundles on a general n-gonal curve
FLAMINI, FLAMINIO
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2018-08-01
Abstract
In this paper we study the Brill Noether locus of rank 2, (semi)stable vector bundles with at least two sections and of suitable degrees on a general ν-gonal curve. We classify its irreducible components having at least expected dimension. We moreover describe the general member F of such components just in terms of extensions of line bundles with suitable "minimality properties", providing information on the birational geometry of such components as well as on the very-ampleness of F.| File | Dimensione | Formato | |
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