Geodesic
The Mumford–Tate conjecture for the product of an abelian surface and a $K3$ surface
Documenta mathematica, Tome 21 (2016), pp. 1691-1713
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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 l-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.
DOI : 10.4171/dm/x12
Classification : 11G10, 14C15, 14C30, 14J28
Mots-clés : K3 surface, Mumford-Tate conjecture, abelian surface, product of an abelian surface and a K3 surface 
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     author = {Johan Commelin},
     title = {The {Mumford{\textendash}Tate} conjecture for the product of an abelian surface and a $K3$ surface},
     journal = {Documenta mathematica},
     pages = {1691--1713},
     year = {2016},
     volume = {21},
     doi = {10.4171/dm/x12},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/x12/}
}
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Johan Commelin. The Mumford–Tate conjecture for the product of an abelian surface and a $K3$ surface. Documenta mathematica, Tome 21 (2016), pp. 1691-1713. doi: 10.4171/dm/x12

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