On the Supersingular Locus of the $\mathrm{GU}(2,n-2)$ Shimura Variety

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

On the Supersingular Locus of the $G U (2, n - 2)$ Shimura Variety

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On the Supersingular Locus of the $G U (2, n - 2)$ Shimura Variety

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

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

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On the Supersingular Locus of the $G U (2, n - 2)$ Shimura Variety

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On the Supersingular Locus of the $G U (2, n - 2)$ Shimura Variety

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