paper

On the -ordinary locus of a Shimura variety

arXiv:1705.08846

Abstract

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

13 pages. Introduction expanded