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A uniform bound on the Brauer groups of certain log K3 surfaces

Published 12 May 2017 in math.AG and math.NT | (1705.04529v3)

Abstract: Let U be the complement of a smooth anticanonical divisor in a del Pezzo surface of degree at most 7 over a number field k. We show that there is an effective uniform bound for the size of the Brauer group of U in terms of the degree of k.

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