2021•Contemporary mathematics - American Mathematical SocietyRequires access

Some algebraic and geometric properties of hyper-Kähler fourfold symmetries

Samuel Boissière, Marc A. Nieper-Wißkirchen, Kévin Tari

Abstract

We complete the classification of order 5 5 nonsymplectic automorphisms on hyper-Kähler 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.

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Key concepts: Mathematics, Homogeneous space, Algebraic number, Pure mathematics, Mathematical analysis, Geometry