Ordinary Modular Forms and Companion Points on the Eigencurve
Number Theory
2016-06-28 v2
Abstract
We give a new proof of a result due to Breuil and Emerton which relates the splitting behavior at p of the p-adic Galois representation attached to a p-ordinary modular form to the existence of an overconvergent p-adic companion form for f.
Cite
@article{arxiv.1210.0165,
title = {Ordinary Modular Forms and Companion Points on the Eigencurve},
author = {John Bergdall},
journal= {arXiv preprint arXiv:1210.0165},
year = {2016}
}
Comments
12 pages. Final version. Changes from previous version: expanded on an argument in section 2.3 and minor correction of typos/language