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تسجيل مستخدم جديدOn the cohomology of regular surfaces isogenous to a product of curves with $chi(mathcal{O}_S)=2$
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تأليف
Matteo A. Bonfanti
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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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اقرأ أيضاً
A complex surface $S$ is said to be isogenous to a product if $S$ is a quotient $S=(C_1 times C_2)/G$ where the $C_i$s are curves of genus at least two, and $G$ is a finite group acting freely on $C_1 times C_2$. In this paper we classify all regular
surfaces isogenous to a product with $chi(mathcal O_S) = 2$ under the assumption that the action of $G$ is unmixed i.e. no element of $G$ exchange the factors of the product $C_1 times C_2$.
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