On Weil-Stark elements, I: general properties

On Weil-Stark elements, I: general properties

We construct a canonical family of elements in the reduced exterior power lattices of the unit groups of global fields. We prove that this family recovers the theory of cyclotomic elements in real abelian fields and also establish detailed arithmetic properties of its elements in the general case.

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Burns, David, Castillo, Daniel Macias, Seo, Soogil
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Number Theory
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We construct a canonical family of elements in the reduced exterior power lattices of the unit groups of global fields. We prove that this family recovers the theory of cyclotomic elements in real abelian fields and also establish detailed arithmetic properties of its elements in the general case.
DOI:10.48550/arxiv.2111.11109