The $\mathrm{GL}_4$ Rapoport-Zink Space
Number Theory
2018-11-07 v1 Algebraic Geometry
Abstract
We give a description of the Rapoport-Zink space, including the connected components, irreducible components, intersection behavior of the irreducible components, and Ekedahl-Oort stratification. As an application of this, we also give a description of the supersingular locus of the Shimura variety for the group over a prime split in the relevant imaginary quadratic field.
Cite
@article{arxiv.1811.02040,
title = {The $\mathrm{GL}_4$ Rapoport-Zink Space},
author = {Maria Fox},
journal= {arXiv preprint arXiv:1811.02040},
year = {2018}
}