The Hasse norm principle for abelian extensions

DOI10.1353/ajm.2018.0048zbMath1426.11127arXiv1508.02518OpenAlexW2963924194WikidataQ128863799 ScholiaQ128863799MaRDI QIDQ4621998

Christopher Frei, Rachel Newton, Daniel Loughran

Publication date: 8 February 2019

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.02518

zbMATH Keywords

weak approximationvarietyHasse norm principledistribution of abelian extensionsnorm 1 tori

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items (15)

Number fields with prescribed norms (with an appendix by Yonatan Harpaz and Olivier Wittenberg) ⋮ The Hasse Norm Principle in Global Function Fields ⋮ Explicit methods for the Hasse norm principle and applications toA_nandS_nextensions ⋮ Torsors for finite group schemes of bounded height ⋮ Distribution of genus numbers of abelian number fields ⋮ A note on the Hasse norm principle ⋮ On Galois extensions with prescribed decomposition groups ⋮ Nonabelian Cohen-Lenstra moments ⋮ An effective Chebotarev density theorem for families of number fields, with an application to \(\ell \)-torsion in class groups ⋮ Harmonic analysis and statistics of the first Galois cohomology group ⋮ The Hasse Norm Principle For Biquadratic Extensions ⋮ The Hasse norm principle for \(A_n\)-extensions ⋮ Average bounds for the \(\ell\)-torsion in class groups of cyclic extensions ⋮ Hasse principles for multinorm equations ⋮ Constructing abelian extensions with prescribed norms

This page was built for publication: The Hasse norm principle for abelian extensions