On the μ-ordinary locus of a Shimura variety

Abstract

In this paper, we study the μ-ordinary locus of a Shimura variety with parahoric level structure. Under the axioms in [12], we show that μ-ordinary locus is a union of certain maximal Ekedahl–Kottwitz–Oort–Rapoport strata introduced in [12] and we give criteria on the density of the μ-ordinary locus.