In this article we give the asymptotic growth of the number of connected components of the moduli space of surfaces of general type corresponding to certain families of Beauville surfaces with group either PSL(2, p), or an alternating group, or a symmetric group or an abelian group. We moreover extend these results to regular surfaces isogenous to a higher product of curves. © 2014 Copyright Taylor and Francis Group, LLC.
Beauville Surfaces, Moduli Spaces and Finite Groups
PENEGINI, MATTEO
2014-01-01
Abstract
In this article we give the asymptotic growth of the number of connected components of the moduli space of surfaces of general type corresponding to certain families of Beauville surfaces with group either PSL(2, p), or an alternating group, or a symmetric group or an abelian group. We moreover extend these results to regular surfaces isogenous to a higher product of curves. © 2014 Copyright Taylor and Francis Group, LLC.
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Descrizione: Pre-print arXiv:1107.5534 [math.AG]
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