Recent work on Beauville surfaces, structures and groups

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. \emph{En route} we discuss several open problems, questions and conjectures.

19 pages, this is a slightly updated version of a survey article that has been accepted to appear in the proceedings of the conference Groups St Andrews 2013