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.
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Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci, I-00173 Rome, ItalyUniv Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci, I-00173 Rome, Italy
Ciliberto, Ciro
Dedieu, Thomas
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Univ Toulouse, Inst Math Toulouse UMR5219, CNRS, UPS IMT, F-31062 Toulouse 9, FranceUniv Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci, I-00173 Rome, Italy
Dedieu, Thomas
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Galati, Concettina
Knutsen, Andreas Leopold
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Univ Bergen, Dept Math, Postboks 7800, N-5020 Bergen, NorwayUniv Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci, I-00173 Rome, Italy