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arXiv · 2202.10909

Integral points of bounded height on a certain toric variety

Florian Wilsch
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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 $\alpha$ and describe its relation to a new obstruction to the Zariski density of integral points in certain regions of varieties.

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Florian Wilsch. 2022-02-22. Integral points of bounded height on a certain toric variety. https://doi.org/10.1090/btran%2F166

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