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In this paper, we use a group-theoretic approach to give a concretedescription of the geometric structure of the supersingular locus of unitaryShimura varieties with exotic good reduction. This approach also is a moreuniform way to prove results of this form obtained previously by, for example,Vollaard-Wedhorn and Rapoport-Terstiege-Wilson.

The supersingular locus of unitary Shimura varieties with exotic good reduction