The Hilbert property for arithmetic schemes
Algebraic Geometry
2022-12-05 v1
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.
Cite
@article{arxiv.2212.01138,
title = {The Hilbert property for arithmetic schemes},
author = {Cedric Luger},
journal= {arXiv preprint arXiv:2212.01138},
year = {2022}
}
Comments
10 pages, accepted for publication in Acta Arithmetica