English

A modularity lifting theorem for weight 2 Hilbert modular forms

Number Theory 2008-10-10 v2

Abstract

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.

Keywords

Cite

@article{arxiv.math/0601515,
  title  = {A modularity lifting theorem for weight 2 Hilbert modular forms},
  author = {Toby Gee},
  journal= {arXiv preprint arXiv:math/0601515},
  year   = {2008}
}