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arXiv:1402.2109 [math.AG]AbstractReferencesReviewsResources

The fundamental group and torsion group of Beauville surfaces

Ingrid Bauer, Fabrizio Catanese, Davide Frapporti

Published 2014-02-10, updated 2014-03-03Version 2

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.

Comments: 14 pages; MAGMA script included; v2: minor corrections, final version to appear in the Proceedings of the Conference "Beauville Surfaces and Groups", Newcastle University (UK), 7-9th June 2012
Categories: math.AG
Subjects: 14J29, 58E40, 14Q10, 20F34
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