Prime Order Isometries of Unimodular Lattices and Automorphisms of IHS Manifolds.
- Resource Type
- Article
- Authors
- Brandhorst, Simon; Cattaneo, Alberto
- Source
- IMRN: International Mathematics Research Notices. Sep2023, Vol. 2023 Issue 18, p15584-15638. 55p.
- Subject
- *CONJUGACY classes
*SYMPLECTIC manifolds
*AUTOMORPHISMS
- Language
- ISSN
- 1073-7928
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. [ABSTRACT FROM AUTHOR]