The compactified Picard scheme of the compactified Jacobian
| dc.creator | Esteves, Eduardo | |
| dc.creator | Kleiman, Steven | |
| dc.date | 2004-10-25 | |
| dc.date.accessioned | 2026-07-07T05:13:41Z | |
| dc.date.available | 2026-07-07T05:13:41Z | |
| dc.description | Let C be an integral projective curve in any characteristic. Given an invertible sheaf L on C of degree 1, form the associated Abel map A_L : C -> P, which maps C into its compactified Jacobian scheme P, and form its pullback map A_L^* : Pic^0_P -> J, which carries the connected component of 0 in the Picard scheme back to the Jacobian. If C has, at worst, double points, then A_L^* is known to be an isomorphism. We prove that A_L^* always extends to a map between the natural compactifications, Pic^-_P -> P, and that the extended map is an isomorphism if C has, at worst, ordinary nodes and cusps. | |
| dc.description | Plain TeX, 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0410537 | |
| dc.identifier | http://arxiv.org/abs/math/0410537 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73002 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H40 (Primary) 14K30, 14H20 (Secondary) | |
| dc.title | The compactified Picard scheme of the compactified Jacobian | |
| dc.type | text |