Binary hermitian forms and optimal embeddings
Number Theory
2017-07-31 v1
Abstract
Fix a quadratic order over the ring of integers. An embedding of the quadratic order into a quaternionic order naturally gives an integral binary hermitian form over the quadratic order. We show that, in certain cases, this correspondence is a discriminant preserving bijection between the isomorphism classes of embeddings and integral binary hermitian forms.
Cite
@article{arxiv.1707.09001,
title = {Binary hermitian forms and optimal embeddings},
author = {Gordan Savin and Michael Zhao},
journal= {arXiv preprint arXiv:1707.09001},
year = {2017}
}