Bases of minimal vectors in tame lattices
Number Theory
2022-04-14 v3
Abstract
Motivated by the behavior of the trace pairing over tame cyclic number fields, we introduce the notion of tame lattices. Given an arbitrary non-trivial lattice we construct a parametric family of full-rank sub-lattices of such that whenever is tame each has a basis of minimal vectors. Furthermore, for each in the family a basis of minimal vectors is explicitly constructed.
Keywords
Cite
@article{arxiv.2006.16794,
title = {Bases of minimal vectors in tame lattices},
author = {Mohamed Taoufiq Damir and Guillermo Mantilla-Soler},
journal= {arXiv preprint arXiv:2006.16794},
year = {2022}
}