Supersingular Kottwitz-Rapoport strata and Deligne-Lusztig varieties

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dc.creatorGoertz, Ulrich
dc.creatorYu, Chia-Fu
dc.date2008-02-22
dc.date2008-07-10
dc.date.accessioned2026-07-07T09:49:15Z
dc.date.available2026-07-07T09:49:15Z
dc.descriptionWe 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.
dc.descriptionv2: Minor corrections; explained relation to [Goertz,Yu, arXiv:0807.1229]; improved introduction
dc.identifierhttps://arxiv.org/abs/0802.3260
dc.identifierhttp://arxiv.org/abs/0802.3260
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164517
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject14G35; 14K10; 11G18
dc.titleSupersingular Kottwitz-Rapoport strata and Deligne-Lusztig varieties
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