Small points on rational subvarieties of tori
type: Item
instance of: scholarly article
title: Small points on rational subvarieties of tori
zbMATH Open document ID: 1348.11054
DOI: 10.4171/CMH/256
author: Francesco Amoroso
author: Evelina Viada
published in: Commentarii Mathematici Helvetici
publication date: 2012-06-05T00:00:00Z
review text: Summary: Let \(V\) be a subvariety of a torus defined over the rational numbers. We study the distribution of points of small Weil's height on \(V\). We simplify the proof and we improve previous results by the first author and \textit{S. David} [J. Reine Angew. Math. 513, 145--179 (1999; Zbl 1011.11045)]. We obtain a totally explicit version of a generalized \textit{E. Dobrowolski} result on the Lehmer problem [Acta Arith. 34, 391--401 (1979; Zbl 0416.12001)].
Mathematics Subject Classification ID: 11G50
Mathematics Subject Classification ID: 11J25
Mathematics Subject Classification ID: 11J81
Mathematics Subject Classification ID: 11J95
zbMATH DE Number: 6043062
zbMATH Keywords: heights
zbMATH Keywords: Lehmer's problem
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/cmh/256
OpenAlex ID: W1978649611
description: scientific article; zbMATH DE number 6043062