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Modularity lifting in parallel weight one

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)199-225
Number of pages27
JournalJOURNAL- AMERICAN MATHEMATICAL SOCIETY
Volume26
Issue number1
Early online date13 Jul 2012
DOIs
E-pub ahead of print13 Jul 2012
PublishedJan 2013

King's Authors

Abstract

We prove an analogue of the main result of Buzzard and Taylor [Buzzard, K.; Taylor, R.: Companion forms and weight one forms. Ann. of Math. (2) 149 (1999), no. 3, 905–919. MR1709306 (2000j:11062)] for totally real fields in which $p$ is unramified. This can be used to prove certain cases of the strong Artin conjecture over totally real fields.

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