Recent work on Beauville surfaces, structures and groups

2014/05/29 by Ben Fairbairn, Fairbairn, Ben
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1405.7547

openalex publication_date 2014/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Beauville surfaces are a class of complex surfaces defined by letting a finite group G act on a product of Riemann surfaces. These surfaces possess many attractive geometric properties several of which are dictated by properties of the group G. In this survey we discuss the groups that may be used in this way. En route we discuss several open problems, questions and conjectures.

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