Prime order isometries of unimodular lattices and automorphisms of IHS manifolds

Sunday, 15 December, 2019

Published in: 

arXiv:1912.07119

We characterize genera of even unimodular Z-lattices admitting an isometry of a given odd prime order. If the lattice is moreover indefinite, this leads to a classification of conjugacy classes of prime order isometries. This is applied to automorphisms of irreducible holomorphic symplectic manifolds.

Author(s): 

Simon Brandhorst
Alberto Cattaneo