Abelian varieties with group action
| dc.creator | Lange, H. | |
| dc.creator | Recillas, S. | |
| dc.date | 2001-06-08 | |
| dc.date | 2003-11-06 | |
| dc.date.accessioned | 2026-07-07T04:42:03Z | |
| dc.date.available | 2026-07-07T04:42:03Z | |
| dc.description | Let G be a finite group acting on a smooth projective curve X. This induces an action of G on the Jacobian JX of X and thus a decomposition of JX up to isogeny. The most prominent example of such a situation is the group G of two elements. Let X --> Y denote the corresponding quotient map. Then JX is isogenous to the product of JY with the Prym variety of X/Y. In this paper some general results on group actions on abelian varieties are given and applied to deduce a decomposition of the jacobian JX for arbitrary group actions. Several examples are given. | |
| dc.description | 30 pages, corrected version abbriviated to 21 pages, to appear in Journ. Reine Angew. Mathem | |
| dc.identifier | https://arxiv.org/abs/math/0106055 | |
| dc.identifier | http://arxiv.org/abs/math/0106055 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61610 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14K05;14H40 | |
| dc.title | Abelian varieties with group action | |
| dc.type | text |