English

Algebraic cycles and topology of real Enriques surfaces

alg-geom 2025-05-23 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.alg-geom/9606007,
  title  = {Algebraic cycles and topology of real Enriques surfaces},
  author = {Frédéric Mangolte and Joost van Hamel},
  journal= {arXiv preprint arXiv:alg-geom/9606007},
  year   = {2025}
}

Comments

18 pages AMS-LaTeX v 1.2