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arXiv · 2407.07989

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

Christopher D. Lazda·Alexei N. Skorobogatov
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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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Christopher D. Lazda, Alexei N. Skorobogatov. 2025-10-01. Boundedness of the p-primary torsion of the Brauer groups of K3 surfaces. https://arxiv.org/abs/2407.07989

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