Algebraic cycles and topology of real Enriques surfaces

Frédéric Mangolte (1) , Joost van Hamel (2)

1 LAMA - Laboratoire de Mathématiques
2 School of Mathematics and statistics [Sydney]

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.

Mots clés: Algebraic cycles; Real algebraic surfaces; Enriques surfaces; Galois-Maximality; Brauer group

Domaines: Géométrie algébrique [math.AG]

Frédéric Mangolte, Joost van Hamel. Algebraic cycles and topology of real Enriques surfaces. Compositio Matematica, 1998, 110, pp.215-237. ⟨hal-00001385⟩