On the connected components of moduli spaces of finite flat models
Number Theory
2020-11-24 v4 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.0801.1948,
title = {On the connected components of moduli spaces of finite flat models},
author = {Naoki Imai},
journal= {arXiv preprint arXiv:0801.1948},
year = {2020}
}
Comments
13 pages