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arXiv · 2403.09440

On a problem posed by Bjorn Poonen

James Rawson
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Abstract

Bjorn Poonen asked whether there exists a polynomial giving a surjection $\mathbb{Z} \times \mathbb{Z} \to \mathbb{N}$. We answer this question in the negative, conditional on a conjecture of Vojta. More precisely, we show that if such a function exists, there is a family of open surfaces with dense integral points despite the surfaces being of log general type.

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James Rawson. 2024-03-14. On a problem posed by Bjorn Poonen. https://arxiv.org/abs/2403.09440

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