EKOR strata on Shimura varieties with parahoric reduction

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 $G$-zips of Moonen, Wedhorn, Pink and Ziegler to our context.

arXiv admin note: substantial text overlap with arXiv:2003.03175

References in corpus (3)

• A guide to the reduction modulo p of Shimura varieties
• Introduction to Shimura varieties with bad reduction of parahoric type
• Central leaves on Shimura varieties with parahoric reduction