Jacobians with group actions and rational idempotents
| dc.creator | Carocca, Angel | |
| dc.creator | Rodriguez, Rubi E. | |
| dc.date | 2003-05-23 | |
| dc.date.accessioned | 2026-07-07T04:58:12Z | |
| dc.date.available | 2026-07-07T04:58:12Z | |
| dc.description | The object of this paper is to prove some general results about rational idempotents for a finite group $G$ and deduce from them geometric information about the components that appear in the decomposition of the Jacobian variety of a curve with $G-$action. We give an algorithm to find explicit primitive rational idempotents for any $G$, as well as for rational projectors invariant under any given subgroup. These explicit constructions allow geometric descriptions of the factors appearing in the decomposition of a Jacobian with group action: from them we deduce the decomposition of any Prym or Jacobian variety of an intermediate cover, in the case of a Jacobian with $G-$action. In particular, we give a necessary and sufficient condition for a Prym variety of an intermediate cover to be such a factor. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/0305328 | |
| dc.identifier | http://arxiv.org/abs/math/0305328 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67543 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H40; 20C05 | |
| dc.title | Jacobians with group actions and rational idempotents | |
| dc.type | text |