arXiv
Open Access
2022
The Hilbert property for arithmetic schemes
Cedric Luger
Abstrak
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 étale covers of arithmetic schemes with the Hilbert property.
Topik & Kata Kunci
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Cedric Luger
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