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arXiv · 2605.05450

On Brauer groups of known Enriques manifolds

Alessandro Frassineti·Francesca Rizzo·Federico Tufo·Matteo Verni
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Abstract

We compute the Brauer group of some of the known Enriques manifolds. We then build special Brauer-Severi varieties on these manifolds and study the pull-back map from the Brauer group of an Enriques manifold to that of its hyper-K\"ahler universal cover, from both a geometric and an algebraic perspective.

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Alessandro Frassineti, Francesca Rizzo, Federico Tufo, Matteo Verni. 2026-05-06. On Brauer groups of known Enriques manifolds. https://arxiv.org/abs/2605.05450

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