Ordinary Modular Forms and Companion Points on the Eigencurve
classification
🧮 math.NT
keywords
companionformmodularp-adicattachedbehaviorbreuileigencurve
read the original 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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