Integral points of bounded height on a certain toric variety
Number Theory
2025-05-19 v2 Algebraic Geometry
Abstract
We determine an asymptotic formula for the number of integral points of bounded height on a certain toric variety, which is incompatible with part of a preprint by Chambert-Loir and Tschinkel. We provide an alternative interpretation of the asymptotic formula we get. To do so, we construct an analogue of Peyre's constant and describe its relation to a new obstruction to the Zariski density of integral points in certain regions of varieties.
Keywords
Cite
@article{arxiv.2202.10909,
title = {Integral points of bounded height on a certain toric variety},
author = {Florian Wilsch},
journal= {arXiv preprint arXiv:2202.10909},
year = {2025}
}
Comments
26 pages, 4 figures; author accepted version, appeared in Trans. Amer. Math. Soc. Ser. B