Deformations of Prismatic Higher (G,μ)-Displays over Quasi-Syntomic Rings

2024/02/20 by Hedayatzadeh, Mohammad Hadi, Partofard, Ali · 2 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2402.12879

Abstract

We prove a deformation theorem for prismatic higher (G,μ)-displays over quasi-syntomic rings. As an application, we extend the classification of p-divisible groups via prismatic Dieudonné modules to a class of rings properly containing quasi-syntonic rings. Finally, we related the stack of prismatic higher (G,μ)-displays to integral local Shimura varieties.

Cited by

• Igusa Stack for some expectional Shimura Varieties
• Embeddings of Certain Exceptional Shimura Varieties into Siegel Modular Varieties

Related

• Deformation theory for prismatic G-displays
• On parahoric (G, μ)-displays
• Prismatic G-displays and descent theory
• Prismatic Dieudonné theory
• Smoothness of the truncated display functor