30 citations · 135 across the 18 of their papers we have counts for
14 papers · 1 filter
Arakelov geometry, heights, equidistribution, and the Bogomolov conjecture
Antoine Chambert-Loir
This is an introduction to the topics of the title, from the 2017 Grenoble Summer school on Arakelov geometry and arithmetic applications. We review Arithmetic intersection numbers…
Diophantine Geometry and Analytic Spaces
Antoine Chambert-Loir
This text is the write-up of a talk at the Bellairs Workshop in Number Theory on Tropical and Non-Archimedean Geometry that took place at the Bellairs Research Institute, Barbados,…
Relations de dépendance et intersections exceptionnelles (Dependence relations and exceptional intersections)
Antoine Chambert-Loir
This text is devoted to the following result, stemming out works of Bombieri, Masser, Zannier, and Maurin: Let be an complex algebraic (projective, connected) curve and let us…
Integral points of bounded height on toric varieties
Antoine Chambert-Loir, Yuri Tschinkel
We establish asymptotic formulas for the number of integral points of bounded height on toric varieties.
The Theorem of Jentzsch--Szegő on an analytic curve. Application to the irreducibility of truncations of power series
Antoine Chambert-Loir
The theorem of Jentzsch--Szegő describes the limit measure of a sequence of discrete measures associated to the zeroes of a sequence of polynomials in one variable. Following the p…
Heights and measures on analytic spaces. A survey of recent results, and some remarks
Antoine Chambert-Loir
This paper has two goals. The first is to present the construction, due to the author, of measures on non-archimedean analytic varieties associated to metrized line bundles and som…