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arXiv:2212.01138 [math.AG]AbstractReferencesReviewsResources

The Hilbert property for arithmetic schemes

Cedric Luger

Published 2022-12-02Version 1

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.

Comments: 10 pages, accepted for publication in Acta Arithmetica
Categories: math.AG
Subjects: 14G99, 14G05, 14G40
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