On the Geometry of the Pappas-Rapoport Models for Pel Shimura Varieties

Stéphane Bijakowski; Valentin Hernandez

doi:10.1017/S1474748022000019

On the Geometry of the Pappas-Rapoport Models for Pel Shimura Varieties

Stéphane Bijakowski
, Valentin Hernandez

Laboratoire de Mathématiques d'Orsay

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

In this article we study integral models of Shimura varieties, called Pappas-Rapoport splitting model, for ramified P.E.L. Shimira data. We study the special fiber and some stratification of these models, in particular we show that these are smooth and the Rapoport locus and the -ordinary locus are dense, under some condition on the ramification.

langue originale	Anglais
Pages (de - à)	2403-2445
Nombre de pages	43
journal	Journal of the Institute of Mathematics of Jussieu
Volume	22
Numéro de publication	5
Les DOIs	https://doi.org/10.1017/S1474748022000019
état	Publié - 18 sept. 2023

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10.1017/S1474748022000019

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title = "On the Geometry of the Pappas-Rapoport Models for Pel Shimura Varieties",

abstract = "In this article we study integral models of Shimura varieties, called Pappas-Rapoport splitting model, for ramified P.E.L. Shimira data. We study the special fiber and some stratification of these models, in particular we show that these are smooth and the Rapoport locus and the -ordinary locus are dense, under some condition on the ramification.",

keywords = "Newton stratification, Shimura varieties, integral models of Shimura varieties, p-divisible groups",

author = "St{\'e}phane Bijakowski and Valentin Hernandez",

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N1 - Publisher Copyright: © The Author(s), 2022. Published by Cambridge University Press.

PY - 2023/9/18

Y1 - 2023/9/18

N2 - In this article we study integral models of Shimura varieties, called Pappas-Rapoport splitting model, for ramified P.E.L. Shimira data. We study the special fiber and some stratification of these models, in particular we show that these are smooth and the Rapoport locus and the -ordinary locus are dense, under some condition on the ramification.

AB - In this article we study integral models of Shimura varieties, called Pappas-Rapoport splitting model, for ramified P.E.L. Shimira data. We study the special fiber and some stratification of these models, in particular we show that these are smooth and the Rapoport locus and the -ordinary locus are dense, under some condition on the ramification.

KW - Newton stratification

KW - Shimura varieties

KW - integral models of Shimura varieties

KW - p-divisible groups

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DO - 10.1017/S1474748022000019

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ER -

On the Geometry of the Pappas-Rapoport Models for Pel Shimura Varieties

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