On quaternionic unitary Rapoport-Zink spaces with parahoric level structures
Number Theory
2019-09-27 v1 Algebraic Geometry
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.
Cite
@article{arxiv.1909.12263,
title = {On quaternionic unitary Rapoport-Zink spaces with parahoric level structures},
author = {Haining Wang},
journal= {arXiv preprint arXiv:1909.12263},
year = {2019}
}