Deligne–Lusztig varieties and basic EKOR strata

Using the axioms of He and Rapoport for the stratifications of Shimura varieties, we explain a result of Görtz, He, and Nie that the EKOR strata contained in the basic loci can be described as a disjoint union of Deligne–Lusztig varieties. In the special case of Siegel modular varieties, we compare...

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Bibliographic Details
Published in:Canadian mathematical bulletin Vol. 64; no. 2; pp. 349 - 367
Main Author: Wang, Haining
Format: Journal Article
Language:English
Published: Canada Canadian Mathematical Society 01.06.2021
Cambridge University Press
Subjects:
Axioms
Descriptions
Strata
Deligne-Lusztig varieties
14G35
Shimura varieties
11G18
ISSN:0008-4395, 1496-4287
Online Access:Get full text
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Summary:Using the axioms of He and Rapoport for the stratifications of Shimura varieties, we explain a result of Görtz, He, and Nie that the EKOR strata contained in the basic loci can be described as a disjoint union of Deligne–Lusztig varieties. In the special case of Siegel modular varieties, we compare their descriptions to that of Görtz and Yu for the supersingular Kottwitz-Rapoport strata and to the descriptions of Harashita and Hoeve for the supersingular Ekedahl–Oort strata.
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ISSN:0008-4395
1496-4287
DOI:10.4153/S0008439520000491