Multi-height analysis of rational points of toric varieties
Number Theory
2026-03-16 v2 Algebraic Geometry
Abstract
We study the multi-height distribution of rational points of smooth, projective and split toric varieties over using the lift of the number of points to universal torsors.
Keywords
Cite
@article{arxiv.2412.04226,
title = {Multi-height analysis of rational points of toric varieties},
author = {Nicolas Bongiorno},
journal= {arXiv preprint arXiv:2412.04226},
year = {2026}
}
Comments
Some corrections have been made, in particular related to the computation of the type of the torsor under the Neron-Severi torus constructed via the Cox ring. The exposition of the paper has also been improved following the referee's comments. Accepted for publication in the Journal de Theorie des Nombres de Bordeaux