Geography of minimal surfaces of general type with Z22$\mathbb {Z}_2^2$‐actions and the locus of Gorenstein stable surfaces

Abstract

AbstractIn this note, the geography of minimal surfaces of general type admitting ‐actions is studied. More precisely, it is shown that Gieseker's moduli space contains surfaces admitting a ‐action for every admissible pair such that or . The examples considered allow to prove that the locus of Gorenstein stable surfaces is not closed in the KSBA‐compactification of Gieseker's moduli space for every admissible pair such that .