Algebraic cycles and topology of real Enriques surfaces

Abstract

For a real Enriques surface Y we prove that every homology class in H_1(Y(R), Z/2) can be represented by a real algebraic curve if and only if all connected components of Y(R) are orientable. Furthermore, we give a characterization of real Enriques surfaces which are Galois-Maximal and/or Z-Galois-Maximal and we determine the Brauer group of any real Enriques surface.

18 pages AMS-LaTeX v 1.2

References in corpus (1)

• Cycles algébriques sur les surfaces K3 réelles

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