J. Commelin

activity

20172026

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4 papers · 1 filter

math.AG2019

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…

math.AG2019

On the cohomology of surfaces with $p_{g} = q = 2$ and maximal Albanese dimension

Johan Commelin, Matteo Penegini

In this paper we study the cohomology of smooth projective complex surfaces $S$ of general type with invariants $p_{g} = q = 2$ and surjective Albanese morphism. We show that on a Ho…

math.AG2018

The Mumford--Tate conjecture for products of abelian varieties

Johan Commelin

Let $X$ be a smooth projective variety over a finitely generated field $K$ of characteristic~ $0$ and fix an embedding $K \subset C$ . The Mumford--Tate conjecture is a prec…

math.AG2017

On compatibility of the $ℓ$ -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 implies the algebraic Sato-Tate conjecture of Banaszak and Kedlaya

On the cohomology of surfaces with pg​=q=2 and maximal Albanese dimension

The Mumford--Tate conjecture for products of abelian varieties

On compatibility of the ℓ-adic realisations of an abelian motive

On the cohomology of surfaces with $p_{g} = q = 2$ and maximal Albanese dimension

On compatibility of the $ℓ$ -adic realisations of an abelian motive