This article is cited in 3 papers

Homology of some surfaces with $p_g = q = 0$ isogenous to a product

T. I. Shabalin

National Research University "Higher School of Economics"

Abstract: Bauer and Catanese found four families of surfaces of general type with $p_g=q=0$, each of which is the quotient of a product of curves by the action of a finite Abelian group. We compute the integral cohomology groups of these surfaces.

Keywords: surfaces of general type, surfaces isogenous to a product, fake quadrics, branched coverings, fundamental group, homology groups.

UDC: 512.774.46

MSC: 14J29, 14F25, 20D30

Received: 18.06.2014

DOI: 10.4213/im8267

 English version: Izvestiya: Mathematics, 2014, 78:6, 1261–1270

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