On the Bruhat-Tits stratification of a quaternionic unitary Shimura variety

Haining Wang

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arXiv · 1907.05999

On the Bruhat-Tits stratification of a quaternionic unitary Shimura variety

Haining Wang

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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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Haining Wang. 2019-09-19. On the Bruhat-Tits stratification of a quaternionic unitary Shimura variety. https://arxiv.org/abs/1907.05999

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