Integral points of bounded height on toric varieties
Antoine Chambert-Loir, Yuri Tschinkel
TL;DR
This paper derives asymptotic formulas to count integral points of bounded height on toric varieties, advancing understanding of their distribution and density.
Contribution
It introduces new asymptotic formulas for counting integral points on toric varieties, a significant step forward in arithmetic geometry.
Findings
Asymptotic formulas for integral points established
Quantitative estimates of point distribution provided
Enhanced understanding of height functions on toric varieties
Abstract
We establish asymptotic formulas for the number of integral points of bounded height on toric varieties.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Combinatorial Mathematics · Commutative Algebra and Its Applications