Ekedahl-Oort strata in the supersingular locus
Maarten Hoeve

TL;DR
This paper describes the structure of Ekedahl-Oort strata within the supersingular locus using Deligne-Lusztig varieties, providing a refined understanding of their geometric and combinatorial properties.
Contribution
It offers a new description of Ekedahl-Oort strata in the supersingular locus through Deligne-Lusztig varieties, refining previous results by Harashita.
Findings
Explicit description of strata in terms of Deligne-Lusztig varieties
Refinement of Harashita's results on supersingular locus
Enhanced understanding of the stratification structure
Abstract
We give a description of the individual Ekedahl-Oort strata contained in the supersingular locus in terms of Deligne-Lusztig varieties, refining a result of Harashita.
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