Basic loci in Shimura varieties of Coxeter type
Algebraic Geometry
2013-11-26 v1 Number Theory
Abstract
This paper is a contribution to the general problem of giving an explicit description of the basic locus in the reduction modulo of Shimura varieties. Motivated by \cite{Vollaard-Wedhorn} and \cite{Rapoport-Terstiege-Wilson}, we classify the cases where the basic locus is (in a natural way) the union of classical Deligne-Lusztig sets associated to Coxeter elements. We show that if this is satisfied, then the Newton strata and Ekedahl-Oort strata have many nice properties.
Keywords
Cite
@article{arxiv.1311.6263,
title = {Basic loci in Shimura varieties of Coxeter type},
author = {Ulrich Goertz and Xuhua He},
journal= {arXiv preprint arXiv:1311.6263},
year = {2013}
}
Comments
27 pages