Deformations of the generalised Picard bundle
| dc.creator | Biswas, I. | |
| dc.creator | Brambila-Paz, L. | |
| dc.creator | Newstead, P. E. | |
| dc.date | 2003-08-29 | |
| dc.date.accessioned | 2026-07-07T05:00:41Z | |
| dc.date.available | 2026-07-07T05:00:41Z | |
| dc.description | Let X be a non-singular algebraic curve of genus at least 3 and let M denote the moduli space of stable vector bundles of rank n and fixed determinant of degree d with n and d coprime. For any semistable bundle E over X, we can pull E back to XxM, tensor with a universal bundle and take the direct image W(E) on M. If the degree of E is sufficiently large, this direct image is locally free and we call it a generalised Picard bundle. In this paper we prove an inversion formula allowing us to recover E from W(E) and compute the space of infinitesimal deformations of W(E). We also identify a family of deformations which is locally complete and frequently globally complete as well. The paper as a whole is a generalisation of results of Kempf and Mukai on Picard bundles over the Jacobian of X. | |
| dc.description | 16 pages, AMSLatex | |
| dc.identifier | https://arxiv.org/abs/math/0308292 | |
| dc.identifier | http://arxiv.org/abs/math/0308292 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68414 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60, 14J60 | |
| dc.title | Deformations of the generalised Picard bundle | |
| dc.type | text |