A family of surfaces with $p_g=q=2,K^2=7$ and Albanese map of degree $3$

Abstract

We study a family of surfaces of general type with $p_g=q=2$ and $K^2=7$, originally constructed by Cancian and Frapporti by using the Computer Algebra System MAGMA. We provide an alternative, computer-free construction of these surfaces, that allows us to describe their Albanese map and their moduli space.

15 pages, 1 figure. Final version, to appear in Mathematische Nachrichten

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