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On the Bruhat–Tits stratification of a quaternionic unitary Rapoport–Zink space
Mathematische Annalen ( IF 1.3 ) Pub Date : 2019-11-27 , DOI: 10.1007/s00208-019-01938-w
Haining Wang

In this article 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.

中文翻译:

关于四元数酉 Rapoport-Zink 空间的 Bruhat-Tits 分层

在本文中,我们研究了连接到四元单一基团的 Rapoport-Zink 空间的特殊纤维。特殊纤维使用所谓的 Bruhat-Tits 分层来描述,并且与分裂辛群的 Bruhat-Tits 构建密切相关。作为一个应用,我们描述了相关 Shimura 品种的超奇异位点。
更新日期:2019-11-27
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