The fundamental group and torsion group of Beauville surfaces

2014/02/10 by Ingrid Bauer, Fabrizio Catanese, Bauer, Ingrid +3
Mathematics · #14J29 #14Q10 #20F34 #58E40 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1402.2109

openalex publication_date 2014/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a survey on the fundamental group of surfaces isogenous to a higher product. If the surfaces are regular, e.g. if they are Beauville surfaces, the first homology group is a finite group. We present a MAGMA script which calculates the first homology groups of regular surfaces isogenous to a product.

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