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

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

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.

Original language	English
Pages (from-to)	2403-2445
Number of pages	43
Journal	Journal of the Institute of Mathematics of Jussieu
Volume	22
Issue number	5
DOIs	https://doi.org/10.1017/S1474748022000019
Publication status	Published - 18 Sept 2023

Keywords

Newton stratification
Shimura varieties
integral models of Shimura varieties
p-divisible groups

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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.",

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AU - Hernandez, Valentin

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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U2 - 10.1017/S1474748022000019

DO - 10.1017/S1474748022000019

M3 - Article

AN - SCOPUS:85125522932

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JF - Journal of the Institute of Mathematics of Jussieu

IS - 5

ER -

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

Abstract

Keywords

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