41 citations · 54 across the 13 of their papers we have counts for
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The Mumford-Tate conjecture implies the algebraic Sato-Tate conjecture of Banaszak and Kedlaya
Victoria Cantoral Farfán, Johan Commelin
The algebraic Sato-Tate conjecture was initially introduced by Serre and then discussed by Banaszak and Kedlaya. This note shows that the Mumford-Tate conjecture for an abelian var…
On the cohomology of surfaces with and maximal Albanese dimension
Johan Commelin, Matteo Penegini
In this paper we study the cohomology of smooth projective complex surfaces of general type with invariants and surjective Albanese morphism. We show that on a Ho…
The Mumford--Tate conjecture for products of abelian varieties
Johan Commelin
Let be a smooth projective variety over a finitely generated field of characteristic~ and fix an embedding . The Mumford--Tate conjecture is a prec…
On compatibility of the -adic realisations of an abelian motive
Johan Commelin
In this article we introduce the notion of a quasi-compatible system of Galois representations. The quasi-compatibility condition is a slight relaxation of the classical compatibil…
The Mumford-Tate conjecture for the product of an abelian surface and a K3 surface
Johan Commelin
In this paper we prove the Mumford-Tate conjecture in degree 2 for the product of an abelian surface and a K3 surface over a finitely generated field …