On the Supersingular Locus of the GU(2,n-2) Shimura Variety

Abstract

We study the supersingular locus of a reduction at an inert prime of the Shimura variety attached to GU(2,n-2). More concretely, we decompose the supersingular locus into a disjoint union of iterated fibrations over (classical) Deligne-Lusztig varieties after taking perfection.

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