Deformations of the Picard Bundle
| dc.creator | Biswas, I. | |
| dc.creator | Brambila-Paz, L. | |
| dc.creator | Newstead, P. E. | |
| dc.date | 2001-04-17 | |
| dc.date | 2002-06-10 | |
| dc.date.accessioned | 2026-07-07T04:41:21Z | |
| dc.date.available | 2026-07-07T04:41:21Z | |
| dc.description | Let X be a nonsingular projective algebraic curve of genus g\ge3. We consider the moduli space M of stable bundles of fixed determinant with rank n and degree d coprime and d>n(2g-2). There is a universal bundle on XxM and we consider the direct image of this bundle on M. With the given restriction on d, this is a bundle W called the Picard bundle. Our main object in this paper is to compute the infinitesimal deformations of W. We show also that W possesses a moduli space and that the connected component of this moduli space containing W is isomorphic as a polarised variety to the Jacobian of X. | |
| dc.description | 14 pages, AMSLatex, introduction rewritten, minor additions, new references | |
| dc.identifier | https://arxiv.org/abs/math/0104170 | |
| dc.identifier | http://arxiv.org/abs/math/0104170 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61322 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Deformations of the Picard Bundle | |
| dc.type | text |