ON EULER SYSTEMS FOR THE MULTIPLICATIVE GROUP OVER GENERAL NUMBER FIELDS

David Burns; Alexandre Daoud; Takamichi Sano; Soogil Seo

doi:10.5565/PUBLMAT6712302

2023 ON EULER SYSTEMS FOR THE MULTIPLICATIVE GROUP OVER GENERAL NUMBER FIELDS

David Burns, Alexandre Daoud, Takamichi Sano, Soogil Seo

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Abstract

We formulate, and provide strong evidence for, a natural generalization of a conjecture of Robert Coleman concerning Euler systems for the multiplicative group over arbitrary number fields.

Funding Statement

The fourth author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (NRF-2022R1F1A1059558).

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David Burns. Alexandre Daoud. Takamichi Sano. Soogil Seo. "ON EULER SYSTEMS FOR THE MULTIPLICATIVE GROUP OVER GENERAL NUMBER FIELDS." Publ. Mat. 67 (1) 89 - 126, 2023. https://doi.org/10.5565/PUBLMAT6712302

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Received: 31 August 2020; Accepted: 15 September 2020; Published: 2023

First available in Project Euclid: 19 December 2022

MathSciNet: MR4522931

zbMATH: 07658534

Digital Object Identifier: 10.5565/PUBLMAT6712302

Subjects:

Primary: 11R42

Secondary: 11R27

Keywords: Coleman’s conjecture , higher rank Euler systems , multiplicative group

Abstract

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