English

Lehmer without Bogomolov

Number Theory 2021-07-28 v2

Abstract

We construct fields of algebraic numbers that have the Lehmer property but not the Bogomolov property. This answers a recent implicit question of Pengo and the first author.

Cite

@article{arxiv.2012.06339,
  title  = {Lehmer without Bogomolov},
  author = {Fabien Pazuki and Niclas Technau and Martin Widmer},
  journal= {arXiv preprint arXiv:2012.06339},
  year   = {2021}
}

Comments

The main result of this note is now subsumed into arXiv:2107.09027

R2 v1 2026-06-23T20:54:05.967Z