Integral points of bounded height on toric varieties

Abstract

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

29 pages

References in corpus (1)

• Brauer-Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms

Cited by in corpus (8)

• Campana points of bounded height on vector group compactifications
• Slicing the stars: counting algebraic numbers, integers, and units by degree and height
• Integral points on singular del Pezzo surfaces
• Integral points of bounded height on a log Fano threefold
• The distribution of $S$-integral points on ${\mathrm{SL}}_2$-orbit closures of binary forms
• Campana points, Height zeta functions, and log Manin's conjecture
• Equidistribution of rational points and the geometric sieve for toric varieties
• Integral points of bounded height on compactifications of semi-simple groups