On Ihara ’ s lemma for Hilbert Modular Varieties

Abstract

Let ρ be a modulo p representation of the absolute Galois group of a totally real number field. Under the assumptions that ρ has large image and admits a low weight crystalline modular deformation we show that any low weight crystalline deformation of ρ unramified outside a finite set of primes will be modular. We follow the approach of Wiles as generalized… (More)

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