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.
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Submitted on : Tuesday, March 30, 2004 - 5:08:21 PM
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Frédéric Mangolte, Joost Van Hamel. Algebraic cycles and topology of real Enriques surfaces. Compositio Matematica, 1998, 110, pp.215-237. 〈hal-00001385〉

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