On the connected components of moduli spaces of finite flat models

Details On the connected components of moduli spaces of finite flat models On the connected components of moduli spaces of finite flat models

2008-01-13

arxiv.org/abs/0801.1948v4

Amer. J. Math. 132 (2010), no. 5, 1189-1204

Mathematics

Number Theory

13 pages

Scientific paper

We prove that the non-ordinary 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.

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