English

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

Algebraic Geometry 2017-06-13 v2 Number Theory Representation Theory

Abstract

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

Keywords

Cite

@article{arxiv.1705.08846,
  title  = {On the $\mu$-ordinary locus of a Shimura variety},
  author = {Xuhua He and Sian Nie},
  journal= {arXiv preprint arXiv:1705.08846},
  year   = {2017}
}

Comments

13 pages. Introduction expanded