\(\ell\)-adic properties of certain modular forms
type: Item
instance of: scholarly article
title: \(\ell\)-adic properties of certain modular forms
zbMATH Open document ID: 1160.11022
author: Hyunsuk Moon
author: Yuichiro Taguchi
published in: Proceedings of the Japan Academy. Series A
publication date: 2007-06-06T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.pja/1160485502
review text: The authors prove that Hecke-operators on certain spaces of \(\ell\)-adic modular forms (with \(\ell\in \{3,5,7\}\)) are topologically nilpotent. They then derive some arithmetic consequences of this result.
reviewed by: Stefan Kühnlein
Mathematics Subject Classification ID: 11F33
Mathematics Subject Classification ID: 11F25
Mathematics Subject Classification ID: 11F80
Mathematics Subject Classification ID: 11S15
zbMATH DE Number: 5161645
zbMATH Keywords: modular forms
zbMATH Keywords: Hecke-operators
zbMATH Keywords: mod \(\ell\) Galois representations
zbMATH Keywords: Serre's \(\varepsilon\)-conjecture
MaRDI profile type: Publication
OpenAlex ID: W1965304233
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DOI: 10.3792/PJAA.82.83
description: scientific article; zbMATH DE number 5161645