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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.12879 |
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| _version_ | 1866913083860975616 |
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| author | Hedayatzadeh, Mohammad Hadi Partofard, Ali |
| author_facet | Hedayatzadeh, Mohammad Hadi Partofard, Ali |
| contents | 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-syntomic rings. Finally, we relate the stack of prismatic higher $(G,μ)$-displays to integral local Shimura varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12879 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Deformations of Prismatic Higher $(G,μ)$-Displays over Quasi-Syntomic Rings Hedayatzadeh, Mohammad Hadi Partofard, Ali Number Theory Algebraic Geometry 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-syntomic rings. Finally, we relate the stack of prismatic higher $(G,μ)$-displays to integral local Shimura varieties. |
| title | Deformations of Prismatic Higher $(G,μ)$-Displays over Quasi-Syntomic Rings |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2402.12879 |