On the supersingular locus of the GU(2,2) Shimura variety

Abstract

We describe the supersingular locus of a GU(2,2) Shimura variety at a prime inert in the corresponding quadratic imaginary field.

Final version. To appear in Algebra and Number Theory

Cited by in corpus (6)

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• Fine Deligne-Lusztig varieties and Arithmetic Fundamental Lemmas
• On Tate conjecture for the special fibers of some unitary Shimura varieties
• Arithmetic intersection on GSpin Rapoport-Zink spaces
• On supersingular loci of Shimura varieties for quaternionic unitary groups of degree $2$
• The supersingular locus of the Shimura variety of $\mathrm{GU}(2,n-2)$