Isometries of lattices and Hasse principles
Number Theory
2021-05-11 v3 Geometric Topology
Abstract
We give necessary and sufficient conditions for an integral polynomial without linear factors to be the characteristic polynomial of an isometry of some even, unimodular lattice of given signature. This gives rise to Hasse principle questions, which we answer in a more general setting. As an application, we prove a Hasse principle for signatures of knots.
Cite
@article{arxiv.2001.07094,
title = {Isometries of lattices and Hasse principles},
author = {Eva Bayer-Fluckiger},
journal= {arXiv preprint arXiv:2001.07094},
year = {2021}
}
Comments
Added application to knot theory