Finiteness of Selmer groups and deformation rings

Abstract

We prove the finiteness of Selmer groups attached to lifts of certain 2-dimensional mod p representations of the absolute Galois group of Q. The mod p representation can be either even or odd. The lifts considered are the ones that were proven to exist by the seond named author.

References in corpus (1)

• On isomorphisms between deformation rings and Hecke rings

Cited by in corpus (3)

• On isomorphisms between deformation rings and Hecke rings
• Quantitative level lowering for Galois representations
• Density of Selmer ranks in families of even Galois representations, Wiles' formula, and global reciprocity