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arXiv · 2403.19771

On a conjecture of Pappas and Rapoport

Patrick Daniels·Pol van Hoften·Dongryul Kim·Mingjia Zhang
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Abstract

We prove a conjecture of Pappas and Rapoport about the existence of ''canonical'' integral models of Shimura varieties of Hodge type with quasi-parahoric level structure at a prime $p$. For these integral models, we moreover show uniformization of isogeny classes by integral local Shimura varieties, and prove a conjecture of Kisin and Pappas on local model diagrams.

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Patrick Daniels, Pol van Hoften, Dongryul Kim, Mingjia Zhang. 2024-03-28. On a conjecture of Pappas and Rapoport. https://doi.org/10.1007/s00208-026-03450-4

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