Ordinary pseudorepresentations and modular forms
Number Theory
2018-01-22 v4
Abstract
In this short note, we observe that the techniques of our recent work "Pseudo-modularity and Iwasawa theory" can be used to provide a new proof of some of the residually reducible modularity lifting results of Skinner and Wiles. In these cases, we have found that a deformation ring of ordinary pseudorepresentations is equal to the Eisenstein local component of a Hida Hecke algebra. We also show that Vandiver's conjecture implies Sharifi's conjecture.
Cite
@article{arxiv.1510.01661,
title = {Ordinary pseudorepresentations and modular forms},
author = {Preston Wake and Carl Wang-Erickson},
journal= {arXiv preprint arXiv:1510.01661},
year = {2018}
}
Comments
Final version, to appear in Proc. Amer. Math. Soc. 14 pages