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Galois descent for higher Brauer groups

Published 24 Feb 2018 in math.AG | (1802.08902v3)

Abstract: For $X$ a smooth projective variety over a field $k$, we consider the problem of Galois descent for higher Brauer groups. More precisely, we extend a finiteness result of Colliot-Th\'el`ene and Skorobogatov to higher Brauer groups.

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