On the Bruhat-Tits stratification of a quaternionic unitary Shimura variety
Number Theory
2020-12-09 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1907.05999,
title = {On the Bruhat-Tits stratification of a quaternionic unitary Shimura variety},
author = {Haining Wang},
journal= {arXiv preprint arXiv:1907.05999},
year = {2020}
}
Comments
revised