Some algebraic and geometric properties of hyper-Kähler fourfold symmetries

We complete the classification of order \(5\) nonsymplectic automorphisms on hyper-K\"ahler fourfolds deformation equivalent to the Hilbert square of a K3 surface. We then compute the topological Lefschetz number of natural automorphisms of generalized Kummer fourfolds and we describe the geome...

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Bibliographic Details
Published inarXiv.org
Main Authors Boissière, Samuel, Nieper-Wißkirchen, Marc, Tari, Kévin
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 15.01.2020
Subjects
Automorphisms
Deformation
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Summary:We complete the classification of order \(5\) nonsymplectic automorphisms on hyper-K\"ahler fourfolds deformation equivalent to the Hilbert square of a K3 surface. We then compute the topological Lefschetz number of natural automorphisms of generalized Kummer fourfolds and we describe the geometry of their fix loci.
ISSN:2331-8422