Smoothness of components of the Emerton-Gee stack for GL₂

2022/09/20 by Guzman, Anthony, Kansal, Kalyani, Kountouridis, Iason +2
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2209.09439

Abstract

Let K be a finite unramified extension of ℚ_p, where p>2. [CEGS22b] and [EG23] construct a moduli stack of two dimensional mod p representations of the absolute Galois group of K. We show that most irreducible components of this stack (including several non-generic components) are isomorphic to quotients of smooth affine schemes. We also use this quotient presentation to compute global sections on these components.

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