Prime order isometries of unimodular lattices and automorphisms of ihs manifolds

Abstract

We characterize conjugacy classes of isometries of odd prime order in unimodular Z-lattices. This is applied to give a complete classification of odd prime order non-symplectic automorphisms of irreducible holomorphic symplectic manifolds up to deformation and birational conjugacy.

Minor corrections and clarifications over version 2