# Serre’s modularity conjecture (II)

@article{Khare2009SerresMC, title={Serre’s modularity conjecture (II)}, author={Chandrashekhar Khare and Jean-Pierre Wintenberger}, journal={Inventiones mathematicae}, year={2009}, volume={178}, pages={505-586} }

We provide proofs of Theorems 4.1 and 5.1 of Khare and Wintenberger (Invent. Math., doi:10.1007/s00222-009-0205-7, 2009).

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