Work

Automorphisms of Nikulin-type orbifolds

Year: 2026

Type: article

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.

Source: Revista Matemática Iberoamericana

DOI: 10.4171/rmi/1626

Authors: Simon Brandhorst, Grégoire Menet, Stevell Muller

Institutions: Saarland University, École Spéciale Militaire de Saint-Cyr, Leibniz University Hannover

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Deutsche Forschungsgemeinschaft, Agence Nationale de la Recherche

Awards: Symmetries and moduli spaces in algebraic geometry and physics, G251152387, TRR 195: Symbolische Werkzeuge in der Mathematik und ihre Anwendung