Kottwitz-Rapoport strata in the Siegel moduli spaces
type: Item
instance of: scholarly article
title: Kottwitz-Rapoport strata in the Siegel moduli spaces
zbMATH Open document ID: 1229.14021
author: Chia-Fu Yu
published in: Taiwanese Journal of Mathematics
publication date: 2011-05-18T00:00:00Z
review text: This paper provides a survey of various results concerning Siegel moduli spaces with parahoric level structures and Kottwitz-Rapoport (KR) stratification. The author describes the supersingular locus of the Siegel 3-folds with parahoric structures of paramodular type and Klingen type and discusses how to characterize the KR strata in the moduli spaces with Iwahori level structure. He also announces additional results on the KR strata in Siegel 3-folds with parahoric level structure and those in higher dimensional cases, whose proofs will be given in subsequent papers with U.~Görtz. These results include a numerical characterization for KR strata, a method of reducing certain geometric problems to those on \(p\)-rank zero strata, and a description of the supersingular KR structure in the genus three case.
reviewed by: Min Ho Lee
Mathematics Subject Classification ID: 14G35
Mathematics Subject Classification ID: 14K12
zbMATH DE Number: 5896863
zbMATH Keywords: Siegel modular varieties
zbMATH Keywords: parahoric level structure
zbMATH Keywords: stratification
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500406079
OpenAlex ID: W1536374735
DOI: 10.11650/TWJM/1500406079
description: scientific article; zbMATH DE number 5896863