On a conjecture of Pappas and Rapoport

Patrick Daniels; Pol van Hoften; Dongryul Kim; Mingjia Zhang

doi:10.1007/s00208-026-03450-4

On a conjecture of Pappas and Rapoport

Patrick Daniels
, Pol van Hoften
, Dongryul Kim
, Mingjia Zhang

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Article number	31
Journal	Mathematische Annalen
Volume	395
Issue number	2
DOIs	https://doi.org/10.1007/s00208-026-03450-4
State	Published - Jun 2026

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s00208-026-03450-4

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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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N2 - 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.

AB - 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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On a conjecture of Pappas and Rapoport

Abstract

All Science Journal Classification (ASJC) codes

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