The multi-height distribution implies the Batyrev-Manin principle
Number Theory
2026-03-17 v1
Abstract
We explain how to deduce from the multi-height analysis of rational points on a toric stack (respectively on a toric variety) the asymptotic study of the number of rational points of bounded orbifold anticanonical height (respectively bounded anticanonical height), using a general version of the hyperbola method developed by Marta Pieropan and Damaris Schindler.
Keywords
Cite
@article{arxiv.2603.13938,
title = {The multi-height distribution implies the Batyrev-Manin principle},
author = {Nicolas Bongiorno},
journal= {arXiv preprint arXiv:2603.13938},
year = {2026}
}