Abstract

We construct many new surfaces of general type with $q=p_g = 0$ whose canonical model is the quotient of the product of two curves by the action of a finite group $G$, constructing in this way many new interesting fundamental groups which distinguish connected components of the moduli space of surfaces of general type. We indeed classify all such surfaces whose canonical model is singular (the smooth case was classified in an earlier work). As an important tool we prove a structure theorem giving a precise description of the fundamental group of quotients of products of curves by the action of a finite group $G$.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 993-1049
Launched on MUSE
2012-07-25
Open Access
No
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