On the Rubin-Stark conjecture for a special class of CM extensions of totally real number fields.
type: Item
instance of: scholarly article
title: On the Rubin-Stark conjecture for a special class of CM extensions of totally real number fields.
zbMATH Open document ID: 1197.11153
author: Cristian D. Popescu
published in: Mathematische Zeitschrift
publication date: 2005-02-11T00:00:00Z
review text: The author proves Rubin's integral version of Stark's conjecture, up to a power of \(2\), for an infinite class of CM extensions of totally real number fields, called by Greither ``nice extensions'', under the assumption that a certain Iwasawa \(\mu\)-invariant vanishes. By restricting this result to \(L\)-functions of order of vanishing \(1\) at \(s=0\), he proves that the Brumer-Stark conjecture is true, up to a power of \(2\), for ``nice extensions'', under the same assumption.
reviewed by: Florin Nicolae
Mathematics Subject Classification ID: 11R42
Mathematics Subject Classification ID: 11R58
Mathematics Subject Classification ID: 11R27
zbMATH DE Number: 2133493
zbMATH Keywords: Rubin's conjecture
zbMATH Keywords: Stark's conjecture
zbMATH Keywords: Brumer-Stark conjecture
zbMATH Keywords: CM extensions
MaRDI profile type: Publication
full work available at URL: s00209-003-0624-x
OpenAlex ID: W2019465978
Wikidata QID: Q122910171
DOI: 10.1007/S00209-003-0624-X
description: scientific article; zbMATH DE number 2133493