Eisenstein Deformation Rings
Number Theory
2007-05-23 v2
Abstract
We prove R = T theorems for certain reducible residual Galois representations. We answer in the positive a question of Gross and Lubin on whether certain Hecke algebras T are discrete valuation rings. In order to prove these results we determine (using the theory of Breuil modules) when two finite flat group schemes G and H of order p over an arbitrarily tamely ramified discrete valuation ring admit an extension not killed by p.
Cite
@article{arxiv.math/0407003,
title = {Eisenstein Deformation Rings},
author = {Frank Calegari},
journal= {arXiv preprint arXiv:math/0407003},
year = {2007}
}
Comments
final version