Geometric realizations of non-symplectic involutions on the Hilbert square of a K3 surface
摘要
We give new examples of geometric constructions of non-natural non-symplectic involutions of IHS manifolds whose existence is guaranteed by previous results of Bossiére-Cattaneo-Nieper-Wiesskirchen-Sarti as reported by Boissiére (The automorphism group of the Hilbert scheme of two points on a generic projective K3 surface, Springer, Cham, 2016) and Bossière-Camere-Sarti in (Kyoto J Math 56: 465–499, 2016).