Ordinary modular forms and companion points on the eigencurve

Authors

John Bergdall, Bryn Mawr CollegeFollow

Document Type

Article

Version

Author's Final Manuscript

Publication Title

Journal of Number Theory

Volume

134

Publication Date

2014

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.

Citation

Bergdall, John. 2014. "Ordinary modular forms and companion points on the eigencurve." Journal of Number Theory 134: 226-239.

DOI

https://doi.org/10.1016/j.jnt.2013.07.014