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On the connected components of moduli spaces of finite flat models
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 132, Number 5, October 2010
- pp. 1189-1204
- 10.1353/ajm.2010.0006
- Article
- Additional Information
We prove that the nonordinary component is connected in the moduli spaces
of finite flat models of two-dimensional local Galois representations
over finite fields. This was conjectured by Kisin. As an application to
global Galois representations, we prove a theorem on the modularity
comparing a deformation ring and a Hecke ring.