On the μ-ordinary locus of a Shimura variety

2017/05/24 by Xuhua He, He, Xuhua, Sian Nie +1
Mathematics · Physics and Astronomy · #11G18 #14G35 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #Nonlinear Waves and Solitons #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1705.08846

openalex publication_date 2017/05/24 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the μ-ordinary locus of a Shimura variety with parahoric level structure. Under the axioms in \citeHR, we show that μ-ordinary locus is a union of some maximal Ekedahl-Kottwitz-Oort-Rapoport strata introduced in \citeHR and we give criteria on the density of the μ-ordinary locus.

Citations

• The μ-ordinary locus for Shimura varieties of Hodge type
• Affine Grassmannians and the geometric Satake in mixed characteristic

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• The basic locus of the unitary Shimura variety with parahoric level structure, and special cycles
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