On the distribution of points of bounded height on equivariant compactifications of vector groups

2000/05/02 by Antoine Chambert-Loir, Yuri Tschinkel, Chambert-Loir, Antoine +1 · 1 citation
Mathematics · #11G50 (11G35 #14G05) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Number Theory (math.NT) #math.AG #math.NT #msc:11G50

paper · pdf · doi:10.48550/arxiv.math/0005015

The theorem proven is a bit more general than in version 1. Clarification and reorganization of some parts of the paper

openalex publication_date 2000/05/02 · arxiv created 2001/04/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove asymptotic formulas for the number of rational points of bounded height on smooth equivariant compactifications of the affine space. (Nous établissons un développement asymptotique du nombre de points rationnels de hauteur bornée sur les compactifications équivariantes lisses de l'espace affine.)

Cited by

• Semi-integral points of bounded height on vector group compactifications

Related

• Points of bounded height on equivariant compactifications of vector groups, I
• Points of bounded height on equivariant compactifications of vector groups, II
• Distribution of rational points of bounded height on equivariant compactifications of PGL₂ I
• Integral points of bounded height on compactifications of semi-simple groups
• The Distribution of Integral Points on the Wonderful Compactification by Height