Automorphisms of Nikulin-type orbifolds
Algebraic Geometry
2026-04-21 v2
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.
Cite
@article{arxiv.2411.04668,
title = {Automorphisms of Nikulin-type orbifolds},
author = {Simon Brandhorst and Grégoire Menet and Stevell Muller},
journal= {arXiv preprint arXiv:2411.04668},
year = {2026}
}
Comments
18 pages, 1 Table, dataset in bibliography. Final version; accepted for publication in Revista Matem\`atica Iberoamericana