Algebraic cycles and topology of real Enriques surfaces

Details Algebraic cycles and topology of real Enriques surfaces Algebraic cycles and topology of real Enriques surfaces

1996-06-07

arxiv.org/abs/alg-geom/9606007v1

Mathematics

Algebraic Geometry

18 pages AMS-LaTeX v 1.2

Scientific paper

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.

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