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Ordinary Modular Forms and Companion Points on the Eigencurve

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.

preprint2013arXivOpen access
John Bergdall
math.NT
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John Bergdall

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