English

On Brauer groups of known Enriques manifolds

Algebraic Geometry 2026-05-08 v1

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.

Keywords

Cite

@article{arxiv.2605.05450,
  title  = {On Brauer groups of known Enriques manifolds},
  author = {Alessandro Frassineti and Francesca Rizzo and Federico Tufo and Matteo Verni},
  journal= {arXiv preprint arXiv:2605.05450},
  year   = {2026}
}