ON THE CONNECTED COMPONENTS OF MODULI SPACES OF FINITE FLAT MODELS

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 defo...

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Bibliographic Details
Published inAmerican journal of mathematics Vol. 132; no. 5; pp. 1189 - 1204
Main Author Imai, Naoki
Format Journal Article
LanguageEnglish
Published Baltimore, MD Johns Hopkins University Press 01.10.2010
Subjects
Algebra
Conceptual lattices
Exact sciences and technology
General mathematics
General, history and biography
Inertia
Integers
Mathematical models
Mathematical notation
Mathematical rings
Mathematical theorems
Mathematics
Modularity
Number theory
Sciences and techniques of general use
Theorems
Theoretical mathematics
Finite field
Deformation
Ring
Moduli space
Connected space
Two dimensional model
Representation
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Summary: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.
ISSN:0002-9327
1080-6377
1080-6377
DOI:10.1353/ajm.2010.0006