Number fields with prescribed norms: with an appendix by Y. Harpaz and O. Wittenberg

Christopher Frei, Daniel Loughran*, Rachel Newton

*Korrespondierende/r Autor/in für diese Arbeit

Publikation: Beitrag in einer FachzeitschriftArtikel

Abstract

Abstract. We study the distribution of extensions of a number field k with
fixed abelian Galois group G, from which a given finite set of elements of k
are norms. In particular, we show the existence of such extensions. Along the
way, we show that the Hasse norm principle holds for 100% of G-extensions of
k, when ordered by conductor. The appendix contains an alternative purely
geometric proof of our existence result.
Originalspracheenglisch
FachzeitschriftCommentarii Mathematici Helvetici
PublikationsstatusAngenommen/In Druck - 21 Nov 2021

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