Theta functions on the moduli space of parabolic bundles
| dc.creator | Gavioli, Francesca | |
| dc.date | 2003-02-18 | |
| dc.date.accessioned | 2026-07-07T04:55:22Z | |
| dc.date.available | 2026-07-07T04:55:22Z | |
| dc.description | Let X be a smooth projective connected curve of genus $g \ge 2$ and let I be a finite set of points of X. Fix a parabolic structure on I for rank r vector bundles on X. Let $M^{par}$ denote the moduli space of parabolic semistable bundles and let $L^{par}$ denote the parabolic determinant bundle. In this paper we show that the n-th tensor power line bundle ${L^{par}}^n$ on the moduli space $M^{par}$ is globally generated, as soon as the integer n is such that $n \ge [\frac{r^2}{4}]$. In order to get this bound, we construct a parabolic analogue of the Quot scheme and extend the result of Popa and Roth on the estimate of its dimension. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/0302209 | |
| dc.identifier | http://arxiv.org/abs/math/0302209 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66555 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H10; 14F05; 14D20; 14H42 | |
| dc.title | Theta functions on the moduli space of parabolic bundles | |
| dc.type | text |