Bruhat strata for Shimura varieties of PEL type
Algebraic Geometry
2013-12-25 v2 Number Theory
Abstract
The Bruhat stratification for Shimura varieties of PEL type is studied. In the Siegel case this stratification is a scheme-theoretic variant of the stratification by the a-number. We show that all Bruhat strata are smooth and determine their dimensions. We also prove that the closure of a Bruhat stratum is a union of Bruhat strata and describe which Bruhat strata are contained in the closure of a given Bruhat stratum.
Cite
@article{arxiv.1303.0115,
title = {Bruhat strata for Shimura varieties of PEL type},
author = {Torsten Wedhorn},
journal= {arXiv preprint arXiv:1303.0115},
year = {2013}
}
Comments
18 pages, minor additions, main results unchanged, to appear in Math. Zeitschrift