July 10, 2024Open Access

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

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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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Lazda et al. (Wed,) studied this question.

synapsesocial.com/papers/68e60ce9b6db6435875a059e https://doi.org/https://doi.org/10.48550/arxiv.2407.07989

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