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arxiv: 1705.08846 · v2 · pith:W5HUIHEKnew · submitted 2017-05-24 · 🧮 math.AG · math.NT· math.RT

On the μ-ordinary locus of a Shimura variety

classification 🧮 math.AG math.NTmath.RT
keywords locusordinaryciteshimuravarietyaxiomscriteriadensity
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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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