Automorphisms of Nikulin-type orbifolds

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.

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Publication Details

Journal
Revista Matemática Iberoamericana
Published
2026-05-18
DOI
https://doi.org/10.4171/rmi/1626
Primary Topic
Algebraic Geometry and Number Theory
Type
preprint
Field-Weighted Citation Impact
0.00

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preprint

Automorphisms of Nikulin-type orbifolds

Stevell Muller, Simon Brandhorst, Grégoire Menet
Revista Matemática Iberoamericana
Algebraic Geometry and Number Theory
preprint

Automorphisms of Nikulin-type orbifolds

Stevell Muller, Simon Brandhorst, Grégoire Menet
preprint en

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.

Revista Matemática Iberoamericana
Leibniz University Hannover (DE), École Spéciale Militaire de Saint-Cyr (FR), Saarland University (DE)
Deutsche Forschungsgemeinschaft, Agence Nationale de la Recherche
Openalex Percentile: Top 96%
Algebraic Geometry and Number Theory
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