Geodesic
Deligne–Lusztig varieties and basic EKOR strata
Canadian mathematical bulletin, Tome 64 (2021) no. 2, pp. 349-367

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DOI

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.
DOI : 10.4153/S0008439520000491
Mots-clés : Deligne-Lusztig varieties, Shimura varieties 
Wang, Haining. Deligne–Lusztig varieties and basic EKOR strata. Canadian mathematical bulletin, Tome 64 (2021) no. 2, pp. 349-367. doi: 10.4153/S0008439520000491
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     title = {Deligne{\textendash}Lusztig varieties and basic {EKOR} strata},
     journal = {Canadian mathematical bulletin},
     pages = {349--367},
     year = {2021},
     volume = {64},
     number = {2},
     doi = {10.4153/S0008439520000491},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000491/}
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