Geodesic
The Mumford-Tate conjecture for the product of an abelian surface and a $K3$ surface
Documenta mathematica, Tome 21 (2016), pp. 1691-1713.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

The Mumford-Tate conjecture is a precise way of saying that the Hodge structure on singular cohomology conveys the same information as the Galois representation on $\ell$-adic étale cohomology, for an algebraic variety over a finitely generated field of characteristic 0. This paper presents a proof of the Mumford-Tate conjecture in degree 2 for the product of an abelian surface and a K3 surface.
Classification : 14C15, 14C30, 11G10, 14J28
Keywords: Mumford-Tate conjecture, abelian surface, \(K3\) surface, product of an abelian surface and a \(K3\) surface 
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     author = {Commelin, Johan},
     title = {The {Mumford-Tate} conjecture for the product of an abelian surface and a {\(K3\)} surface},
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     url = {http://geodesic.mathdoc.fr/item/DOCMA_2016__21__a0/}
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Commelin, Johan. The Mumford-Tate conjecture for the product of an abelian surface and a \(K3\) surface. Documenta mathematica, Tome 21 (2016), pp. 1691-1713. http://geodesic.mathdoc.fr/item/DOCMA_2016__21__a0/