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Finiteness of Selmer groups and deformation rings

Chandrashekhar Khare, Ravi Ramakrishna

math.NTarXiv:math/0211006

Abstract

We prove the finiteness of Selmer groups attached to lifts of certain 2-dimensional mod p representations of the absolute Galois group of Q. The mod p representation can be either even or odd. The lifts considered are the ones that were proven to exist by the seond named author.

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