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Evaluation of Brauer elements over local fields

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Abstract

We study the evaluation maps given by elements of the Brauer group of varieties over local fields. We show constancy of the aforementioned maps in several interesting cases.

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Acknowledgements

The author is grateful to Martin Bright and Rachel Newton for sharing their preprint [7], and patiently explaining its contents. The author would like to thank Alexei Skorobogatov and Anthony Várilly-Alvarado for useful discussions, and the anonymous referee for numerous helpful comments.

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  1. Department of Mathematics and Statistics, University of Cyprus, P.O. Box 20537, 1678, Nicosia, Cyprus

    Evis Ieronymou

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  1. Evis Ieronymou
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Correspondence to Evis Ieronymou.

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Communicated by Vasudevan Srinivas.

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Ieronymou, E. Evaluation of Brauer elements over local fields. Math. Ann. 382, 239–254 (2022). https://doi.org/10.1007/s00208-021-02242-2

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