On the base locus of the linear system of generalized theta functions
| dc.creator | Pauly, Christian | |
| dc.date | 2007-07-23 | |
| dc.date | 2008-04-14 | |
| dc.date.accessioned | 2026-07-07T09:31:52Z | |
| dc.date.available | 2026-07-07T09:31:52Z | |
| dc.description | Let $\cM_r$ denote the moduli space of semi-stable rank-$r$ vector bundles with trivial determinant over a smooth projective curve $C$ of genus $g$. In this paper we study the base locus $\cB_r \subset \cM_r$ of the linear system of the determinant line bundle $\cL$ over $\cM_r$, i.e., the set of semi-stable rank-$r$ vector bundles without theta divisor. We construct base points in $\cB_{g+2}$ over any curve $C$, and base points in $\cB_4$ over any hyperelliptic curve. | |
| dc.description | 4 pages | |
| dc.identifier | https://arxiv.org/abs/0707.3364 | |
| dc.identifier | http://arxiv.org/abs/0707.3364 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158611 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60, 14D20 | |
| dc.title | On the base locus of the linear system of generalized theta functions | |
| dc.type | text |