The GL(4) Rapoport-Zink Space

Fox, Maria. “The GL(4) Rapoport-Zink Space”, Boston College, 2019. http://hdl.handle.net/2345/bc-ir:108374.

Abstract

This dissertation gives a description of the GL(4) Rapoport-Zink space, including the connected components, irreducible components, intersection behavior of the irreducible components, and Ekedahl-Oort stratification. As an application of this, this dissertation also includes a description of the supersingular locus of the Shimura variety for the group GU(2,2) over a prime split in the relevant imaginary quadratic field.

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Title
The GL(4) Rapoport-Zink Space
Author
Fox, Maria
School
Arts and Sciences
Discipline
Mathematics
Publisher
Boston College
Date Issued
2019
Genre
thesis
Degree Level
Doctoral
Degree Name
PhD
Thesis Advisor
Howard, Benjamin
Persistent Link
http://hdl.handle.net/2345/bc-ir:108374
Use Restrictions
Copyright is held by the author, with all rights reserved, unless otherwise noted.
Subject
Arithmetic Geometry
GL(4)
GU(2
2)
Rapoport-Zink Space
Shimura Variety
Supersingular Locus
Scholarly Profile
Maria Fox's ORCID:  https://orcid.org/0000-0003-4050-5815

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