Geodesic
A new way to tackle a conjecture of Rémond
Canadian journal of mathematics, Tome 76 (2024) no. 6, pp. 2049-2072

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DOI

Let $\Gamma \subset \overline {\mathbb {Q}}^*$ be a finitely generated subgroup. Denote by $\Gamma _{\mathrm {div}}$ its division group. A recent conjecture due to Rémond, related to the Zilber–Pink conjecture, predicts that the absolute logarithmic Weil height of an element of $\mathbb {Q}(\Gamma _{\mathrm {div}})^*\backslash \Gamma _{\mathrm {div}}$ is bounded from below by a positive constant depending only on $\Gamma $. In this paper, we propose a new way to tackle this problem.
DOI : 10.4153/S0008414X2300072X
Mots-clés : Weil height, Rémond’s conjecture, equidistribution 
Plessis, Arnaud. A new way to tackle a conjecture of Rémond. Canadian journal of mathematics, Tome 76 (2024) no. 6, pp. 2049-2072. doi: 10.4153/S0008414X2300072X
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     title = {A new way to tackle a conjecture of {R\'emond}},
     journal = {Canadian journal of mathematics},
     pages = {2049--2072},
     year = {2024},
     volume = {76},
     number = {6},
     doi = {10.4153/S0008414X2300072X},
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