On the non-abelian Brumer-Stark conjecture and the equivariant Iwasawa main conjecture

Johnston, H; Nickel, A

dc.contributor.author	Johnston, H
dc.contributor.author	Nickel, A
dc.date.accessioned	2018-09-17T13:57:07Z
dc.date.issued	2018-10-22
dc.description.abstract	We show that for an odd prime p, the p-primary parts of refinements of the (imprimitive) non-abelian Brumer and Brumer-Stark conjectures are implied by the equivariant Iwasawa main conjecture (EIMC) for totally real fields. Crucially, this result does not depend on the vanishing of the relevant Iwasawa mu-invariant. In combination with the authors' previous work on the EIMC, this leads to unconditional proofs of the non-abelian Brumer and Brumer-Stark conjectures in many new cases.	en_GB
dc.description.sponsorship	The first named author acknowledges financial support provided by EPSRC First Grant EP/N005716/1 ‘Equivariant Conjectures in Arithmetic’. The second named author acknowledges financial support provided by the DFG within the Collaborative Research Center 701 ‘Spectral Structures and Topological Methods in Mathematics’.	en_GB
dc.identifier.citation	Published online 22 October 2018.	en_GB
dc.identifier.doi	10.1007/s00209-018-2152-8
dc.identifier.uri	http://hdl.handle.net/10871/34015
dc.language.iso	en	en_GB
dc.publisher	Springer Verlag	en_GB
dc.rights	© The Author(s) 2018. Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
dc.subject	Iwasawa main conjecture	en_GB
dc.subject	Brumer’s conjecture	en_GB
dc.subject	Stark’s conjectures	en_GB
dc.subject	equivariant L-values	en_GB
dc.subject	class groups	en_GB
dc.subject	annihilation	en_GB
dc.title	On the non-abelian Brumer-Stark conjecture and the equivariant Iwasawa main conjecture	en_GB
dc.type	Article	en_GB
dc.description	This is the final version. Available from Springer via the DOI in this record.	en_GB
dc.identifier.journal	Mathematische Zeitschrift	en_GB
refterms.dateFOA	2018-12-11T16:00:34Z