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

David Burns; Daniel Macias Castillo; Soogil Seo

doi:10.1112/jlms.70001

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

David Burns, Daniel Macias Castillo, Soogil Seo

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 (Formula presented.) over general number fields.

Original language	English
Article number	e70001
Journal	Journal of the London Mathematical Society
Volume	110
Issue number	5
DOIs	https://doi.org/10.1112/jlms.70001
Publication status	Published - 2024 Nov

Bibliographical note

Publisher Copyright:
© 2024 The Author(s). Journal of the London Mathematical Society is copyright © London Mathematical Society.

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1112/jlms.70001

Cite this

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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 (Formula presented.) over general number fields.",

author = "David Burns and {Macias Castillo}, Daniel and Soogil Seo",

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

Abstract

Bibliographical note

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