Supersingular Kottwitz-Rapoport strata and Deligne-Lusztig varieties

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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.
v2: Minor corrections; explained relation to [Goertz,Yu, arXiv:0807.1229]; improved introduction

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Algebraic Geometry, Number Theory, 14G35; 14K10; 11G18

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http://salesiana.dossiersoluciones.com/handle/123456789/164517

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.3260
 http://arxiv.org/abs/0802.3260

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arXiv