Raynaud's vector bundles and base points of the generalized Theta divisor
| dc.creator | Hein, Georg | |
| dc.date | 2006-07-14 | |
| dc.date.accessioned | 2026-07-07T07:18:21Z | |
| dc.date.available | 2026-07-07T07:18:21Z | |
| dc.description | We study base points of the generalized Theta-divisor on the moduli space of vector bundles on a smooth algebraic curve X of genus g defined over an algebraically closed field. To do so, we use the derived categories D(Pic(X)), D(Jac(X)), and the equivalence between them given by the Fourier-Mukai transform coming from the Poincaré bundle. The vector bundles P(m) on the curve X defined by Raynaud play a central role in this description. Indeed, we show that a vector bundle E is a base point of the generalized Theta-divisor, if and only if there exists a nontrivial homomorphism P(rk(E)g+1) --> E. | |
| dc.description | 14 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0607338 | |
| dc.identifier | http://arxiv.org/abs/math/0607338 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114272 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14D20 (Primary) 14F17, 18E30 (Secondary) | |
| dc.title | Raynaud's vector bundles and base points of the generalized Theta divisor | |
| dc.type | text |