# Invariant Brauer group of an abelian variety

@article{Orr2022InvariantBG,
title={Invariant Brauer group of an abelian variety},
author={Martin Orr and Alexei N. Skorobogatov and Domenico Valloni and Yuri G. Zarhin},
journal={Israel Journal of Mathematics},
year={2022}
}
• Published 10 July 2020
• Mathematics
• Israel Journal of Mathematics
We study a new object that can be attached to an abelian variety or a complex torus: the invariant Brauer group, as recently defined by Yang Cao. Over an algebraically closed field of characteristic different from 2 this is an elementary abelian 2-group with an explicit upper bound on the rank. We exhibit many cases in which the invariant Brauer group is zero, and construct simple complex abelian varieties in every dimension starting with 3, as well as both simple and non-simple complex abelian…
3 Citations

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