Algebraic cycles and topology of real Enriques surfaces

1996/06/07 by Frédéric Mangolte, Mangolte, Frédéric, Joost van Hamel +1
Computer Science · Mathematics · #14C25 14P25 14J28 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #FOS: Mathematics #Polynomial and algebraic computation #Rings, Modules, and Algebras

paper · doi:10.48550/arxiv.alg-geom/9606007

openalex publication_date 1996/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a real Enriques surface Y we prove that every homology class in H₁(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.

Related

• On the Topological Classification of Real Enriques Surfaces. I
• On the Brauer Group of Real Algebraic Surfaces
• On Brauer Groups of Real Enriques Surfaces
• A brief introduction to Enriques surfaces
• Singular rational curves on Enriques surfaces