Prime order isometries of unimodular lattices and automorphisms of IHS manifolds

Sunday, 15 December, 2019

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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.


Simon Brandhorst
Alberto Cattaneo