Lifting Galois representations over arbitrary number fields
Number Theory
2008-09-19 v1
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 -adic representation, if local lifting problems at places above are unobstructed.
Cite
@article{arxiv.0809.3076,
title = {Lifting Galois representations over arbitrary number fields},
author = {Yoshiyuki Tomiyama},
journal= {arXiv preprint arXiv:0809.3076},
year = {2008}
}