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arXiv · 1310.3110

The Classification of Regular Surfaces Isogenous to a Product of Curves with $χ(\mathcal O_S) = 2$

Christian Gleissner
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Abstract

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 $χ(\mathcal O_S) = 2$ 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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Christian Gleissner. 2013-10-11. The Classification of Regular Surfaces Isogenous to a Product of Curves with $χ(\mathcal O_S) = 2$. https://arxiv.org/abs/1310.3110

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