Automorphy lifting with adequate image

2022/03/09 by Miagkov, Konstantin, Thorne, Jack A. · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2203.04520

Abstract

Let F be a CM number field. We generalize existing automorphy lifting theorems for regular residually irreducible p-adic Galois representations over F by relaxing the big image assumption on the residual representation.

Cited by

• The residual monodromy for the Dwork family in even characteristic and its applications to Galois representations

Related

• Automorphy lifting for residually reducible l-adic Galois representations, II
• On the automorphy of l-adic Galois representations with small residual\n image
• Automorphy of some residually S₅ Galois representations
• Lifting Galois representations over arbitrary number fields
• Lifting irreducible Galois representations