Automorphisms of Nikulin-type orbifolds
Simon Brandhorst
Universität des Saarlandes, Saarbrücken, GermanyGrégoire Menet
Académie militaire de Saint-Cyr Coëtquidan, Guer, FranceStevell Muller
Leibniz Universität Hannover, Germany

Abstract
Nikulin-type orbifolds are certain singular 4-dimensional irreducible holomorphic symplectic varieties. In this paper, 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.
Cite this article
Simon Brandhorst, Grégoire Menet, Stevell Muller, Automorphisms of Nikulin-type orbifolds. Rev. Mat. Iberoam. (2026), published online first
DOI 10.4171/RMI/1626