Hilbert properties under base change in small extensions
Number Theory
2023-12-29 v1 Algebraic Geometry
Abstract
We study the preservation of the Hilbert property and of the weak Hilbert property under base change in field extensions. In particular we show that these properties are preserved if the extension is finitely generated or Galois with finitely generated Galois group, and we also obtain some negative results.
Cite
@article{arxiv.2312.16219,
title = {Hilbert properties under base change in small extensions},
author = {Lior Bary-Soroker and Arno Fehm and Sebastian Petersen},
journal= {arXiv preprint arXiv:2312.16219},
year = {2023}
}