Local \(\varepsilon_0\)-characters in torsion rings
type: Item
instance of: scholarly article
title: Local \(\varepsilon_0\)-characters in torsion rings
zbMATH Open document ID: 1162.11055
author: Seidai Yasuda
published in: Journal de Théorie des Nombres de Bordeaux
publication date: 2008-07-21T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/10821
review text: Let \(K\) be a complete valued field with a perfect residue field \(k\) of positive characteristic \(p\). Following \textit{P. Deligne} [``Modular functions of one variable II'', Proc. internat. Summer School, Univ. Antwerp 1972, Lect. Notes Math. 349, 501--597 (1973; Zbl 0271.14011)], the author develops a theory of local \(\varepsilon_0\)-constants for representations of the Weil group \(W_K\) of \(K\) over a complete local ring with an algebraically closed residue field of characteristic \(\neq p\). The case of a finite field \(k\) was considered by the author in 2001 (preprint).
reviewed by: Anatoly N. Kochubei
Mathematics Subject Classification ID: 11S40
Mathematics Subject Classification ID: 11F80
Mathematics Subject Classification ID: 11F85
zbMATH DE Number: 5302623
zbMATH Keywords: local constants
zbMATH Keywords: Galois representations
zbMATH Keywords: Weil group
MaRDI profile type: Publication
OpenAlex ID: W2055507810
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DOI: 10.5802/JTNB.611
description: scientific article; zbMATH DE number 5302623