Nearly ordinary Galois deformations over arbitrary number fields
Nearly ordinary Galois deformations over arbitrary number fields
Abstract Let K be an arbitrary number field, and let ρ : Gal( $\math{\bar{K}}$ / K ) → GL 2 ( E ) be a nearly ordinary irreducible geometric Galois representation. In this paper, we study the nearly ordinary deformations of ρ. When K is totally real and ρ is …