Automorphisms of even unimodular lattices and equivariant Witt groups

Open Access
Authors
Publication date 2020
Journal Journal of the European Mathematical Society
Volume | Issue number 22 | 11
Pages (from-to) 3467-3490
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract We characterize the irreducible polynomials that occur as the characteristic polynomial of an automorphism of an even unimodular lattice of a given signature, generalizing a theorem of Gross and McMullen. As part of the proof, we give a general criterion in terms of Witt groups for a bilinear form equipped with an action of a group G over a discretely valued field to contain a unimodular G-stable lattice.
Document type Article
Note © 2020 EMS Publishing House. All rights reserved.
Language English
Published at https://doi.org/10.4171/JEMS/991
Other links https://www.scopus.com/pages/publications/85095794413
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