Abstract
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) ≠ O is proved.
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