Connectedness extensions for abelian varieties
| dc.creator | Silverberg, A. | |
| dc.creator | Zarhin, Yu. G. | |
| dc.date | 1996-03-01 | |
| dc.date | 1996-03-03 | |
| dc.date.accessioned | 2026-07-07T08:58:06Z | |
| dc.date.available | 2026-07-07T08:58:06Z | |
| dc.description | Suppose $A$ is an abelian variety over a field $F$, and $\ell$ is a prime not equal to the characteristic of $F$. Let $F_{Φ,\ell}(A)$ denote the smallest extension of $F$ such that the Zariski closure of the image of the $\ell$-adic representation associated to $A$ is connected. Serre introduced this field, and proved that when $F$ is a finitely generated extension of ${\mathbf Q}$, $F_{Φ,\ell}(A)$ does not depend on the choice of $\ell$. In this paper we study extensions $F_{Φ,\ell}(B)/F$ for twists $B$ of a given abelian variety, especially when the abelian varieties are of Weil type. | |
| dc.description | LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9603002 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9603002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147193 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14K15 (Primary) 11G10 (Secondary) | |
| dc.title | Connectedness extensions for abelian varieties | |
| dc.type | text |