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arXiv · 2402.12879

Deformations of Prismatic Higher $(G,\mu)$-Displays over Quasi-Syntomic Rings

Mohammad Hadi Hedayatzadeh·Ali Partofard
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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-syntomic rings. Finally, we relate the stack of prismatic higher $(G,\mu)$-displays to integral local Shimura varieties.

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Mohammad Hadi Hedayatzadeh, Ali Partofard. 2024-02-20. Deformations of Prismatic Higher $(G,\mu)$-Displays over Quasi-Syntomic Rings. https://arxiv.org/abs/2402.12879

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