Recent work on Beauville surfaces, structures and groups

preprint2014arXivOpen access

Abstract

Beauville surfaces are a class of complex surfaces defined by letting a finite group GG act on a product of Riemann surfaces. These surfaces possess many attractive geometric properties several of which are dictated by properties of the group GG. 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.

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