Work

On Weil–Stark elements, I: Construction and general properties

Year: 2024

Type: article

Abstract: We construct a canonical family of elements in the reduced exterior powers of unit groups of global fields and investigate their detailed arithmetic properties. We then show that these elements specialise to recover the classical theory of cyclotomic elements in real abelian fields and also have connections to the theory of non‐commutative Euler systems for over general number fields.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70001

Authors: David Burns, Daniel Macias Castillo, Soogil Seo

Institutions: King's College London, Institute of Mathematical Sciences, Yonsei University

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,780

Funder: National Research Foundation of Korea