Minoration de la hauteur de Weil dans un compositum de corps de rayon
Number Theory
2019-06-17 v3
Abstract
The study of Property (B) starts as a special case of Lehmer's conjecture. An algebraic field is said to satisfy Property (B) if there exists a positive constant bounding by below the height of every point of infinite order. In this paper we prove that, under certain uniformity conditions, the compositum of a familly of fields satisfies Property (B).
Keywords
Cite
@article{arxiv.1805.11879,
title = {Minoration de la hauteur de Weil dans un compositum de corps de rayon},
author = {Arnaud Plessis},
journal= {arXiv preprint arXiv:1805.11879},
year = {2019}
}
Comments
26 pages, in French. Many typos mistakes deleted, the section 5 of the V1 has been deleted