Automorphisms of Nikulin-type orbifolds

TL;DR

This paper studies the symmetries of Nikulin-type orbifolds, showing their monodromy group is maximal and classifying finite order automorphisms based on their cohomological action.

Contribution

It provides a classification of finite order symplectic automorphisms of Nikulin-type orbifolds and proves the monodromy group is maximal.

Findings

Monodromy group of Nikulin-type orbifolds is maximal.

Finite order symplectic automorphisms are classified by their cohomological action.

Abstract

Nikulin-type orbifolds are certain singular 4-dimensional irreducible holomorphic symplectic varieties. We show that the monodromy group of Nikulin-type orbifolds is maximal and classify finite order symplectic automorphisms up to deformation in terms of their action on the second integral cohomology group.