Modularity lifting in parallel weight one

Payman L Kassaei

doi:10.1090/S0894-0347-2012-00746-2

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Modularity lifting in parallel weight one

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Payman L Kassaei

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Original language	English
Pages (from-to)	199-225
Number of pages	27
Journal	JOURNAL- AMERICAN MATHEMATICAL SOCIETY
Volume	26
Issue number	1
Early online date	13 Jul 2012
DOIs	https://doi.org/10.1090/S0894-0347-2012-00746-2
E-pub ahead of print	13 Jul 2012
Published	Jan 2013

King's Authors

Payman L Kassaei (Mathematics, Number Theory)

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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Modularity lifting in parallel weight one

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