Irreducibility of the moduli space of vector bundles on surfaces and Brill-Noether theory on singular curves
| dc.creator | Gomez, Tomas L. | |
| dc.date | 1997-10-27 | |
| dc.date | 2000-03-23 | |
| dc.date.accessioned | 2026-07-07T01:51:14Z | |
| dc.date.available | 2026-07-07T01:51:14Z | |
| dc.description | We prove the irreducibility of the moduli space of rank 2 semistable torsion free sheaves (with a generic polarization and any value of c_2) on a K3 or a del Pezzo surface. In the case of a K3 surface, we need to prove a result on the connectivity of the Brill-Noether locus for singular curves on the surface. In the case of a del Pezzo surface, we reduce the problem to the case of P^2 by first relating the moduli spaces of the plane and the blown-up plane, and then studying how the moduli space changes when we change the polarization. | |
| dc.description | Revised PhD thesis (Princeton, 1997), 64 pages, 1 figure, LaTeX2e, Xy-pic | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9710029 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9710029 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/245 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Irreducibility of the moduli space of vector bundles on surfaces and Brill-Noether theory on singular curves | |
| dc.type | text |