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arXiv · 1705.08846

On the $\mu$-ordinary locus of a Shimura variety

Xuhua He·Sian Nie
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Abstract

In this paper, we study the $\mu$-ordinary locus of a Shimura variety with parahoric level structure. Under the axioms in \cite{HR}, we show that $\mu$-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 $\mu$-ordinary locus.

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Xuhua He, Sian Nie. 2017-05-24. On the $\mu$-ordinary locus of a Shimura variety. https://arxiv.org/abs/1705.08846

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