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arXiv · 2312.16219

Hilbert properties under base change in small extensions

Lior Bary-Soroker·Arno Fehm·Sebastian Petersen
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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.

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BibTeXRIS

Lior Bary-Soroker, Arno Fehm, Sebastian Petersen. 2023-12-24. Hilbert properties under base change in small extensions. https://arxiv.org/abs/2312.16219

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