Some algebraic and geometric properties of hyper-Kähler fourfold symmetries
arXiv:1902.01685
Abstract
We complete the classification of order 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.