activity
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

collaborators

12 papers

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.AG2022

Local to global principles for homomorphisms of abelian schemes

Wojciech Gajda, Sebastian Petersen

Let and be abelian varieties defined over the function field of a smooth algebraic variety We establish criteria, in terms of restriction maps to subvarieties…

math.AG2019

On the semisimplicity of reductions and adelic openness for -rational compatible systems over global function fields

Gebhard Böckle, Wojciech Gajda, Sebastian Petersen

Let be a normal geometrically connected variety over a finite field of characteristic~. Let be a number field. Using automorphic methods over global function fields,…

math.AG2017

A variational open image theorem in positive characteristic

Gebhard Böckle, Wojciech Gajda, Sebastian Petersen

In this note we prove a variational open adelic image theorem for the Galois action on the cohomology of smooth proper -schemes where is a smooth variety over a finitely gen…

math.AG2012

Big monodromy theorem for abelian varieties over finitely generated fields

Sara Arias-de-Reyna, Wojciech Gajda, Sebastian Petersen

An abelian variety over a field K is said to have big monodromy, if the image of the Galois representation on l-torsion points, for almost all primes l contains the full symplectic…