On Weil-Stark elements, I: general properties
Number Theory
2023-10-17 v2
Abstract
We construct a canonical family of elements in the reduced exterior power lattices of the unit groups of global fields. We prove that this family recovers the theory of cyclotomic elements in real abelian fields and also establish detailed arithmetic properties of its elements in the general case.
Keywords
Cite
@article{arxiv.2111.11109,
title = {On Weil-Stark elements, I: general properties},
author = {David Burns and Daniel Macias Castillo and Soogil Seo},
journal= {arXiv preprint arXiv:2111.11109},
year = {2023}
}
Comments
This is part I of a split article; 25 pages