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 $\chi (\mathcal{O}_S)=2$. In particular we found two families of surfaces of general type with maximal Picard number.
Citation
Matteo A. Bonfanti. "On the rational cohomology of regular surfaces isogenous to a product of curves with $\chi(\mathcal{O}_S)=2$." Tohoku Math. J. (2) 70 (3) 401 - 423, 2018. https://doi.org/10.2748/tmj/1537495354
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