Stratifications in the reduction of Shimura varieties
Algebraic Geometry
2015-09-28 v1 Number Theory
Representation Theory
Abstract
In the paper four stratifications in the reduction modulo of a general Shimura variety are studied: the Newton stratification, the Kottwitz-Rapoport stratification, the Ekedahl-Oort stratification and the Ekedahl-Kottwitz-Oort-Rapoport stratification. We formulate a system of axioms and show that these imply non-emptiness statements and closure relation statements concerning these various stratifications. These axioms are satisfied in the Siegel case.
Keywords
Cite
@article{arxiv.1509.07752,
title = {Stratifications in the reduction of Shimura varieties},
author = {Xuhua He and Michael Rapoport},
journal= {arXiv preprint arXiv:1509.07752},
year = {2015}
}
Comments
19 pages