Integral points of bounded height on toric varieties

2010/06/16 by Antoine Chambert-Loir, Yuri Tschinkel, Chambert-Loir, Antoine +1
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1006.3345

openalex publication_date 2010/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish asymptotic formulas for the number of integral points of bounded height on toric varieties.

Citations

• Rational points of bounded height on Fano varieties
• Sur le nombre des points rationnels de hauteur borné des variétés algébriques
• Hauteurs et mesures de Tamagawa sur les variétés de Fano

Related

• Semi-integral points of bounded height on toric varieties
• Points of bounded height on certain subvarieties of toric varieties
• M-points of bounded height on toric varieties
• Integral points on singular toric varieties and cyclic normal polynomials
• Manin's conjecture for integral points on toric varieties