论文标题
关于Rapoport的注释 - 霍奇类型的Zink空间，带有脊椎状级别的结构
Notes on Rapoport--Zink spaces of Hodge type with parahoric level structure
论文作者
论文摘要
在本文中，我们将有关Rapoport的两个问题 - HAMACHER和KIM构建的Hodge类型的Zink空间。其中一个是它们的奇异性，另一个是Shimura品种的$ p $ adadic均匀化。更准确地说，我们证明了Rapoport的奇异性 - Zink空间由其相关的本地模型控制，而Kisin kisin-pappas积分模型的基本基因座是由相应的Rapoport-Zink Space统一的。在PEL类型的情况下，这些结果通过Rapoport和Zink扩展了已知事实。
In this article, we treat two questions on Rapoport--Zink spaces of Hodge type constructed by Hamacher and Kim. One of which is their singularities, and the other is $p$-adic uniformization of Shimura varieties. More precisely, we prove that the singularity of a Rapoport--Zink space is controlled by its asssociated local model, and the basic locus of a Kisin--Pappas integral model of a Shimura variety is uniformized by the corresponding Rapoport--Zink space. These results extend the known facts by Rapoport and Zink in the case of PEL type.
