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On isomorphisms between deformation rings and Hecke rings

Chandrashekhar Khare
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Abstract

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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Chandrashekhar Khare. 2002-11-01. On isomorphisms between deformation rings and Hecke rings. https://doi.org/10.1007/s00222-003-0312-9

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