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

Christopher D. Lazda, Alexei N. Skorobogatov

Published: 2024/7/10

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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