Modularity lifting in parallel weight one

Kassaei, Payman

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

Modularity lifting in parallel weight one
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by Payman L Kassaei

J. Amer. Math. Soc. 26 (2013), 199-225

DOI: https://doi.org/10.1090/S0894-0347-2012-00746-2

Published electronically: July 13, 2012

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Abstract:

We prove an analogue of a modularity lifting result of Buzzard and Taylor 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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