Mathematical Research Letters
Volume 16 (2009)
On the Brauer group of Enriques surfaces
Pages: 927 – 934
Let $S$ be a complex Enriques surface (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.