Ulrich Goertz, Chia-Fu Yu
Published 2008-02-22, updated 2008-07-10Version 2
We investigate Siegel modular varieties in positive characteristic with Iwahori level structure. On these spaces, we have the Newton stratification, and the Kottwitz-Rapoport stratification; one would like to understand how these stratifications are related to each other. We give a simple description of all KR strata which are entirely contained in the supersingular locus as disjoint unions of Deligne-Lusztig varieties. We also give an explicit numerical description of the KR stratification in terms of abelian varieties.
Comments: v2: Minor corrections; explained relation to [Goertz,Yu, arXiv:0807.1229]; improved introduction
The supersingular locus in Siegel modular varieties with Iwahori level structure
On the reduction of the Siegel moduli space of abelian varieties of dimension 3 with Iwahori level structure
The Kodaira dimension of Siegel modular varieties of genus 3 or higher
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