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Authors
Affiliations
1 Cornell University, Malott Hall, Ithaca, NY 14853–4201, US
Source
Journal of the Ramanujan Mathematical Society, Vol 17, No 1 (2002), Pagination: 51–63
Abstract
Let ρ¯ : Gal( ¯Q /Q) = GQ → GL2(𝔽q ) be a continuous Galois representation. In [R2], for ρ¯ absolutely irreducible, we constructed characteristic zero deformations of ρ¯. Here we address the case of ρ¯ reducible and odd. Using Kummer theory Khare has constructed reducible characteristic zero deformations of even and odd ρ¯ in [Kh]. Our aim is to construct irreducible characteristic zero deformations of the reducible ρ¯.