A new family of surfaces with $p_g=q=2$ and $K^2=6$ whose Albanese map has degree $4$

Matteo Penegini, Francesco Polizzi

We construct a new family of minimal surfaces of general type with $p_g=q=2$ and $K^2=6$, whose Albanese map is a quadruple cover of an abelian surface with polarization of type $(…