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

Published 4 Mar 2014 in math.AG and math.NT | (1403.0849v1)

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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