Recent work on Beauville surfaces, structures and groups
Group Theory
2014-05-30 v1 Algebraic Geometry
Abstract
Beauville surfaces are a class of complex surfaces defined by letting a finite group act on a product of Riemann surfaces. These surfaces possess many attractive geometric properties several of which are dictated by properties of the group . 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.
Cite
@article{arxiv.1405.7547,
title = {Recent work on Beauville surfaces, structures and groups},
author = {Ben Fairbairn},
journal= {arXiv preprint arXiv:1405.7547},
year = {2014}
}
Comments
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