EKOR strata on Shimura varieties with parahoric reduction
Algebraic Geometry
2020-04-13 v2 Number Theory
Abstract
We investigate the geometry of the special fiber of the integral model of a Shimura variety with parahoric level at a given prime place. To be more precise, we deal with the EKOR stratification which interpolates between the Ekedahl-Oort and Kottwitz-Rapoport stratifications. In the Siegel case we give a geometric description by suitably generalizing the theory of -zips of Moonen, Wedhorn, Pink and Ziegler to our context.
Keywords
Cite
@article{arxiv.2003.04738,
title = {EKOR strata on Shimura varieties with parahoric reduction},
author = {Jens Hesse},
journal= {arXiv preprint arXiv:2003.04738},
year = {2020}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2003.03175