MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

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.
No keywords uploaded!
[ Download ] [ 2019-12-21 11:29:08 uploaded by Xuhua_He ] [ 672 downloads ] [ 0 comments ] 
@inproceedings{ulrich2013basic,
  title={Basic loci in Shimura varieties of Coxeter type},
  author={Ulrich Goertz, and Xuhua He},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221112908563473759},
  booktitle={arXiv preprint arXiv:1311.6263},
  year={2013},
}
Ulrich Goertz, and Xuhua He. Basic loci in Shimura varieties of Coxeter type. 2013. In arXiv preprint arXiv:1311.6263. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221112908563473759.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved