Florian Wilsch
Published 2022-02-22Version 1
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.
Comments: 25 pages, 4 figures
On a form of degree $d$ in $2d+1$ variables ($d\geq 4$)
On the Number of Eisenstein Polynomials of Bounded Height
Algebraic $S$-integers of fixed degree and bounded height
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