Yu. G. Zarhin, “Abelian varieties, $l$-adic representations and $\mathrm{SL}_2$”, Izv. Akad. Nauk SSSR Ser. Mat., 1979, Volume 43, Issue 2,Pages 294

This article is cited in 14 papers

Abelian varieties, $l$-adic representations and $\mathrm{SL}_2$

Yu. G. Zarhin

Abstract: In this article the Lie algebra of a Galois group which operates on the Tate module of a two- or three-dimensional Abelian variety is calculated. It is assumed that the Abelian variety does not have nontrivial endomorphisms and is defined over a global field with characteristic greater than two.
Bibliography: 14 titles.

UDC: 513.6

MSC: Primary 14K05; Secondary 22E60

Received: 19.06.1978