Lifting Galois representations over arbitrary number fields

2008/09/18 by Yoshiyuki Tomiyama, Tomiyama, Yoshiyuki
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Cryptography and Residue Arithmetic #Polynomial and algebraic computation #math.NT

paper · pdf · doi:10.48550/arxiv.0809.3076

arxiv created 2008/09/18 · arxiv updated 2009/12/01

Abstract

It is proved that every two-dimensional residual Galois representation of the absolute Galois group of an arbitrary number field lifts to a characteristic zero p-adic representation, if local lifting problems at places above p are unobstructed.

Related

• Lifting irreducible Galois representations
• The lifting problem for Galois representations
• Automorphy lifting with adequate image
• Automorphy lifting for residually reducible l-adic Galois\n representations, II
• Lifting Galois representations via Galois cohomology