On the image of l-adic Galois representations for abelian varieties of type I and II
| dc.creator | Banaszak, Grzegorz | |
| dc.creator | Gajda, Wojciech | |
| dc.creator | Krason, Piotr | |
| dc.date | 2004-07-14 | |
| dc.date.accessioned | 2026-07-07T05:10:18Z | |
| dc.date.available | 2026-07-07T05:10:18Z | |
| dc.description | In this paper we investigate the image of the $l$-adic representation attached to the Tate module of an abelian variety over a number field with endomorphism algebra of type I or II in the Albert classification. We compute the image explicitly and verify the classical conjectures of Mumford-Tate, Hodge, Lang and Tate, for a large family of abelian varieties of type I and II. In addition, for this family, we prove an analogue of the open image theorem of Serre. | |
| dc.description | 34 pages | |
| dc.identifier | https://arxiv.org/abs/math/0407247 | |
| dc.identifier | http://arxiv.org/abs/math/0407247 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71888 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11G10; 14L15; 11R32 | |
| dc.title | On the image of l-adic Galois representations for abelian varieties of type I and II | |
| dc.type | text |