Inventiones mathematicae

, 178:505

First online:

Serre’s modularity conjecture (II)

  • Chandrashekhar KhareAffiliated withDepartment of Mathematics, University of Utah Email author 
  • , Jean-Pierre WintenbergerAffiliated withDépartement de Mathématique, Université de Strasbourg

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We provide proofs of Theorems 4.1 and 5.1 of Khare and Wintenberger (Invent. Math., doi:10.​1007/​s00222-009-0205-7, 2009).