On the Northcott property and local degrees

DOI10.1090/proc/15411zbMath1470.11269arXiv2005.10609OpenAlexW3111454793MaRDI QIDQ4985376

Sara Checcoli, Arno Fehm

Publication date: 23 April 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.10609

zbMATH Keywords

algebraic extensionWeil heightNorthcott propertylocal degreeinfinite Galois extension

Mathematics Subject Classification ID

Galois theory (11R32) Algebraic field extensions (12F05) Heights (11G50) Algebraic numbers; rings of algebraic integers (11R04) Field arithmetic (12E30)

Related Items (9)

Constructing totally p-adic numbers of small height ⋮ Two remarks on Narkiewicz's property (P) ⋮ On the properties of Northcott and Narkiewicz for elliptic curves ⋮ Northcott numbers for the house and the Weil height ⋮ Diophantine approximations. Abstracts from the workshop held April 17--23, 2022 ⋮ On the Northcott property for infinite extensions ⋮ On the Northcott property for special values of \(L\)-functions ⋮ On finite embedding problems with abelian kernels ⋮ A note on finite embedding problems with nilpotent kernel

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