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The period-index problem for complex tori

Published 23 Jan 2023 in math.AG | (2301.09293v1)

Abstract: We solve the period-index problem for the Brauer group of a general complex torus of dimension at least three, giving an explicit formula for the index of each Brauer class. As a consequence, the complex-analytic version of the period-index conjecture is false for infinitely many Brauer classes on a general complex torus of dimension at least three.

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