Proves every basic EKOR stratum in the unramified GU(1,n-1) Rapoport-Zink space with arbitrary parahoric level is a disjoint union of copies of an explicitly defined fine Deligne-Lusztig variety, determining KR strata in the basic locus and smoothness of certain EKOR closures.
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EKOR and BT stratifications for basic unramified $\mathrm{GU}(1,n-1)$ Rapoport-Zink spaces
Proves every basic EKOR stratum in the unramified GU(1,n-1) Rapoport-Zink space with arbitrary parahoric level is a disjoint union of copies of an explicitly defined fine Deligne-Lusztig variety, determining KR strata in the basic locus and smoothness of certain EKOR closures.