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arXiv · 2212.01138

The Hilbert property for arithmetic schemes

Cedric Luger
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Abstract

We extend the usual Hilbert property for varieties over fields to arithmetic schemes over integral domains by demanding the set of near-integral points (as defined by Vojta) to be non-thin. We then generalize results of Bary-Soroker-Fehm-Petersen and Corvaja-Zannier by proving several structure results related to products and finite \'{e}tale covers of arithmetic schemes with the Hilbert property.

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Cedric Luger. 2022-12-02. The Hilbert property for arithmetic schemes. https://arxiv.org/abs/2212.01138

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