Images of $\ell$-adic representations and automorphisms of abelian varieties
| dc.creator | Silverberg, A. | |
| dc.creator | Zarhin, Yu. G. | |
| dc.date | 1996-03-01 | |
| dc.date.accessioned | 2026-07-07T09:06:44Z | |
| dc.date.available | 2026-07-07T09:06:44Z | |
| dc.description | Suppose $F$ is either a global field or a finitely generated extension of ${\mathbf Q}$, $A$ is an abelian variety over $F$, and $\ell$ is a prime not equal to the characteristic of $F$. Let $Z$ denote the center of the endomorphism algebra of $A$. Let $G$ denote the group of ${\mathbf Q}_\ell$-points of the identity connected component of the Zariski closure of the image of the $\ell$-adic representation associated to $A$. We prove the $\ell$-independence of the intersection of $G$ with the torsion subgroup of $Z$. Our results provide evidence in the direction of the Mumford-Tate Conjecture. | |
| dc.description | LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9603001 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9603001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150119 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14K15 (Primary) 11G10 (Secondary) | |
| dc.title | Images of $\ell$-adic representations and automorphisms of abelian varieties | |
| dc.type | text |