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On the Bruhat-Tits stratification of a quaternionic unitary Shimura variety (1907.05999v2)
Published 13 Jul 2019 in math.NT and math.AG
Abstract: In this note we study the special fiber of the Rapoport-Zink space attached to a quaternionic unitary group. The special fiber is described using the so called Bruhat-Tits stratification and is intimately related to the Bruhat-Tits building of a split symplectic group. As an application we describe the supersingular locus of the related Shimura variety.
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