On Enriques surfaces with four cusps

Abstract

We study Enriques surfaces with four A2-configurations. In particular, we construct open Enriques surfaces with fundamental groups (Z/3Z)2 x Z/2Z and Z/6Z, completing the picture of the A2-case from previous work by Keum and Zhang. We also construct an explicit Gorenstein Q-homology projective plane of singularity type A3 + 3A2, supporting an open case from a paper by Hwang, Keum and Ohashi.

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