Determinant groups of hermitian lattices over local fields
Number Theory
2019-04-10 v1
Abstract
We describe the determinants of the automorphism groups of hermitian lattices over local fields. Using a result of G. Shimura, this yields an explicit method to compute the special genera in a given genus of hermitian lattices over a number field.
Keywords
Cite
@article{arxiv.1904.04518,
title = {Determinant groups of hermitian lattices over local fields},
author = {Markus Kirschmer},
journal= {arXiv preprint arXiv:1904.04518},
year = {2019}
}