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arXiv · 1210.0165

Ordinary Modular Forms and Companion Points on the Eigencurve

John Bergdall
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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.

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John Bergdall. 2013-09-03. Ordinary Modular Forms and Companion Points on the Eigencurve. https://doi.org/10.1016/j.jnt.2013.07.014

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