Geodesic
On the Finiteness of the Brauer Group of an Arithmetic Scheme
Matematičeskie zametki, Tome 95 (2014) no. 1, pp. 136-149

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The Artin conjecture on the finiteness of the Brauer group is shown to hold for an arithmetic model of a K3 surface over a number field $k$. The Brauer group of an arithmetic model of an Enriques surface over a sufficiently large number field is shown to be a $2$-group. For almost all prime numbers $l$, the triviality of the $l$-primary component of the Brauer group of an arithmetic model of a smooth projective simply connected Calabi–Yau variety $V$ over a number field $k$ under the assumption that $V(k)\neq\varnothing$ is proved.
Keywords: Brauer group, arithmetic model, K3 surface, Calabi–Yau variety, Artin conjecture.
Mots-clés : Enriques surface 
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     title = {On the {Finiteness} of the {Brauer} {Group} of an {Arithmetic} {Scheme}},
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S. G. Tankeev. On the Finiteness of the Brauer Group of an Arithmetic Scheme. Matematičeskie zametki, Tome 95 (2014) no. 1, pp. 136-149. http://geodesic.mathdoc.fr/item/MZM_2014_95_1_a11/