A modularity lifting theorem for weight 2 Hilbert modular forms

Details A modularity lifting theorem for weight 2 Hilbert modular forms A modularity lifting theorem for weight 2 Hilbert modular forms

2006-01-21

arxiv.org/abs/math/0601515v2

Mathematics

Number Theory

Scientific paper

We prove a modularity lifting theorem for potentially Barostti-Tate representations over totally real fields, generalising recent results of Kisin. Unfortunately, there was an error in the original version of this paper, meaning that we can only obtain a slightly weaker result in the case where the representations are potentially ordinary; an erratum has been added explaining this error.

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