Prime Order Isometries of Unimodular Lattices and Automorphisms of IHS Manifolds

Abstract

Abstract We characterize conjugacy classes of isometries of odd prime order in unimodular ${\mathbb {Z}}$-lattices. This is applied to give a complete classification of odd prime order non-symplectic automorphisms of the known deformation types of irreducible holomorphic symplectic manifolds up to deformation and birational conjugacy.