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Boundedness of the p-primary torsion of the Brauer groups of K3 surfaces

Published 10 Jul 2024 in math.AG | (2407.07989v1)

Abstract: We prove that the transcendental Brauer group of a K3 surface X over a finitely generated field k is finite, unless k has positive characteristic p and X is supersingular, in which case it is annihilated by p.

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