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arXiv · 1512.03168

On the cohomology of regular surfaces isogenous to a product of curves with $χ(\mathcal{O}_S)=2$

Matteo A. Bonfanti
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Abstract

Let $S$ be a surface isogenous to a product of curves of unmixed type. After presenting several results useful to study the cohomology of $S$ we prove a structure theorem for the cohomology of regular surfaces isogenous to a product of unmixed type with $χ(\mathcal{O}_S)=2$. In particular we found two families of surfaces of general type with maximal Picard number.

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BibTeXRIS

Matteo A. Bonfanti. 2015-12-10. On the cohomology of regular surfaces isogenous to a product of curves with $χ(\mathcal{O}_S)=2$. https://arxiv.org/abs/1512.03168

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