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Deformations of Prismatic Higher $(G,μ)$-Displays over Quasi-Syntomic Rings (2402.12879v2)
Published 20 Feb 2024 in math.NT and math.AG
Abstract: We prove a deformation theorem for prismatic higher $(G,\mu)$-displays over quasi-syntomic rings. As an application, we extend the classification of $p$-divisible groups via prismatic Dieudonn\'e modules to a class of rings properly containing quasi-syntonic rings. Finally, we related the stack of prismatic higher $(G,\mu)$-displays to integral local Shimura varieties.