Basic loci in Shimura varieties of Coxeter type

Ulrich Goertz Xuhua He

Algebraic Geometry mathscidoc:1912.43199

arXiv preprint arXiv:1311.6263, 2013.11
This paper is a contribution to the general problem of giving an explicit description of the basic locus in the reduction modulo p 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.
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  title={Basic loci in Shimura varieties of Coxeter type},
  author={Ulrich Goertz, and Xuhua He},
  booktitle={arXiv preprint arXiv:1311.6263},
Ulrich Goertz, and Xuhua He. Basic loci in Shimura varieties of Coxeter type. 2013. In arXiv preprint arXiv:1311.6263.
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