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arXiv · 1403.0849

A finiteness theorem for the Brauer group of K3 surfaces in odd characteristic

Alexei N. Skorobogatov·Yuri G. Zarhin
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Abstract

Let $k$ be a field finitely generated over the finite field $\mathbb F_p$ of odd characteristic $p$. For any K3 surface $X$ over $k$ we prove that the prime to $p$ component of the cokernel of the natural map $Br(k)\to Br(X)$ is finite.

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Alexei N. Skorobogatov, Yuri G. Zarhin. 2014-03-04. A finiteness theorem for the Brauer group of K3 surfaces in odd characteristic. https://arxiv.org/abs/1403.0849

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