On the image of Galois $l$-adic representations for abelian varieties of type III
Grzegorz Banaszak, Wojciech Gajda, and Piotr Krasoń
Source: Tohoku Math. J. (2) Volume 62, Number 2
(2010), 163-189.
Abstract
In this paper we investigate the image of the $l$-adic representation attached to the Tate module of an abelian variety defined over a number field. We consider simple abelian varieties of type III in the Albert classification. We compute the image of the $l$-adic and mod $l$ Galois representations and we prove the Mumford-Tate and Lang conjectures for a wide class of simple abelian varieties of type III.
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Permanent link to this document: http://projecteuclid.org/euclid.tmj/1277298644
Digital Object Identifier: doi:10.2748/tmj/1277298644
Zentralblatt MATH identifier: 05780337
Mathematical Reviews number (MathSciNet): MR2663452
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