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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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
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Abstract 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.
AbstractList 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.
Author Wang, Haining
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  organization: Department of Mathematics, McGill University, 805 Sherbrooke St W, Montreal, QC H3A 0B9, Canada
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Shimura varieties
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Snippet 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...
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Title Deligne–Lusztig varieties and basic EKOR strata
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