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Vanishing of Brauer classes on K3 surfaces under reduction

Published 29 Mar 2023 in math.AG and math.NT | (2303.16401v2)

Abstract: Given a Brauer class on a K3 surface defined over a number field, we prove that there exists infinitely many reductions where the Brauer class vanishes, under certain technical hypotheses, answering a question of Frei--Hassett--V\'arilly-Alvarado.

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