Abstract
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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Dedicated to Jean-Pierre Serre
CK was partially supported by NSF grants DMS 0355528 and DMS 0653821, the Miller Institute for Basic Research in Science, University of California Berkeley, and a Guggenheim fellowship.
JPW is member of the Institut Universitaire de France.
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Khare, C., Wintenberger, JP. Serre’s modularity conjecture (II). Invent. math. 178, 505–586 (2009). https://doi.org/10.1007/s00222-009-0206-6
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DOI: https://doi.org/10.1007/s00222-009-0206-6