On the Brauer group of Enriques surfaces
Algebraic Geometry
2009-03-16 v3
Abstract
Let S be a complex Enriques surface; it is the quotient of a K3 surface X by a fixed-point-free involution. The Brauer group Br(S) has a unique nonzero element. We describe its pull-back in Br(X), and show that the surfaces S for which it is trivial form a countable union of hypersurfaces in the moduli space of Enriques surfaces.
Cite
@article{arxiv.0902.3721,
title = {On the Brauer group of Enriques surfaces},
author = {Arnaud Beauville},
journal= {arXiv preprint arXiv:0902.3721},
year = {2009}
}
Comments
Minor modifications; in particular, Proposition 4.1 is put in a more general setting. v3: minor improvements in the presentation