Ordinary pseudorepresentations and modular forms

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Ordinary Pseudorepresentations and Modular Forms

In this short note, we observe that the techniques of [WWE15] can be used to provide a new proof of some of the residually reducible modularity lifting results of Skinner and Wiles [SW99]. In these cases, we have found that a deformation ring of ordinary pseudorepresentations is equal to the Eisenstein local component of a Hida Hecke algebra. We also show that Vandiver’s conjecture implies Shar...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society, Series B

سال: 2017

ISSN: 2330-1511

DOI: 10.1090/bproc/29