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arxiv: math/0211005 · v1 · pith:22EAOIPSnew · submitted 2002-11-01 · 🧮 math.NT

On isomorphisms between deformation rings and Hecke rings

classification 🧮 math.NT
keywords approachliftingmodularityresultsringsanothercohomologicaldeformation
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We give a different approach to the well-known modularity lifting results of Wiles and Taylor. Instead of Taylor-Wiles systems we use a Galois cohomological discovery of R. Ramakrishna. This paper is 2 years older than math.NT/0210296 where another approach to modularity lifting results was presented.

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