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On the basic locus of GSpin Shimura varieties with vertex stabilizer level
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abstract
We study the basic locus of Shimura varieties associated to the group of spinor similitudes of a quadratic space over $\mathbb{Q}$ with level structure given by the stabilizer of a vertex lattice. We give a description of the underlying reduced scheme of the associated Rapoport--Zink space, generalizing results of Howard--Pappas [HP17] and Oki [Oki20b], in the case of self-dual, and almost self dual level structure.
Forward citations
Cited by 2 Pith papers
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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...
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The Bruhat-Tits stratification for basic unramified $GU(1,n-1)$ Rapoport-Zink spaces at arbitrary parahoric level
At arbitrary parahoric level, the reduced special fiber of the GU(1,n−1) Rapoport-Zink space is stratified by closures of fine Deligne-Lusztig varieties, with incidence controlled by Bruhat-Tits indices and n−m+1 J(E)...
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