On a conjecture of Pappas and Rapoport

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

On a conjecture of Pappas and Rapoport

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

Mathematics

Research output: Working paper / Preprint › Preprint › Academic

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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.

Original language	English
Publication status	Published - 28 Mar 2024

Bibliographical note

Minor changes in Section 2.2. 50 pages, comments welcome!

Keywords

math.NT
math.AG
11G18, 14G35

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2403.19771v2

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AU - van Hoften, Pol

AU - Kim, Dongryul

AU - Zhang, Mingjia

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PY - 2024/3/28

Y1 - 2024/3/28

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.

KW - math.NT

KW - math.AG

KW - 11G18, 14G35

M3 - Preprint

BT - On a conjecture of Pappas and Rapoport

ER -

On a conjecture of Pappas and Rapoport

Abstract

Bibliographical note

Keywords

Access to Document

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Cite this