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20022024
most citedOn the image of l-adic Galois representations for abelian varieties of type I and II

15 citations · 21 across the 10 of their papers we have counts for

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6 papers · 1 filter

math.NT2024

Finiteness properties of torsion fields of abelian varieties

Wojciech Gajda, Sebastian Petersen

Let be an abelian variety defined over a field We study finite generation properties of the profinite group and of certain closed normal subgroups ther…

math.NT2023

Remarks on a theorem of Pink in presence of bad reduction

Wojciech Gajda, Marc Hindry

In this note we prove new cases of the Mumford-Tate conjecture by extending a theorem of Richard Pink for abelian varieties without nontrivial endomorphisms and with bad semistable…

math.NT2006★ 2 cited

Linear dependence in Mordell-Weil groups

Wojciech Gajda, Krzysztof Gornisiewicz

We consider a local to global principle for detecting linear dependence of nontorsion points, by reduction maps, in the Mordell-Weil group of an abelian variety over a number field…

math.NT2004

Detecting linear dependence by reduction maps

Grzegorz Banaszak, Wojciech Gajda, Piotr Krason

We consider the local to global principle for detecting linear dependence of points in groups of the Mordell-Weil type. As applications of our general setting we obtain correspondi…

math.NT2004★ 15 cited

On the image of l-adic Galois representations for abelian varieties of type I and II

Grzegorz Banaszak, Wojciech Gajda, Piotr Krason

In this paper we investigate the image of the -adic representation attached to the Tate module of an abelian variety over a number field with endomorphism algebra of type I or I…

math.NT2002★ 3 cited

A support problem for the intermediate Jacobians of l-adic representations

Grzegorz Banaszak, Wojciech Gajda, Piotr Krason

This is a revised version of ANT-0332: "A support problem for the intermediate Jacobians of l-adic representations", by G. Banaszak, W. Gajda & P. Krason, which was placed on these…