On quaternionic unitary Rapoport-Zink spaces with parahoric level structures
arXiv:1909.12263
Abstract
In this article, we describe the underlying reduced scheme of a quaternionic unitary Rapoport-Zink space with Iwahori level structure. In a previous work, we have studied the quaternionic unitary Rapoport-Zink space with a special maximal parahoric level structure. We will describe the morphism between these two Rapoport-Zink spaces and the fiber of this morphism. As an application of this result, we describe the the quaternionic unitary Rapoport-Zink space with any parahoric level structure.