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


Abstract in English

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 $chi (mathcal{O}_S)=2$. In particular we found two families of surfaces of general type with maximal Picard number.

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