Ordinary Modular Forms and Companion Points on the Eigencurve

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.

12 pages. Final version. Changes from previous version: expanded on an argument in section 2.3 and minor correction of typos/language

References in corpus (1)

• An analogue of the BGG resolution for locally analytic principal series

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