Some algebraic and geometric properties of hyper-K\'ahler fourfold symmetries

Autor: Boissière, Samuel, Nieper-Wißkirchen, Marc, Tari, Kévin
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv