Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/22737
Title: | Rings of Conditions of Rank 1 Spherical Varieties |
Authors: | Gibson, Julia |
Advisor: | Harada, Megumi |
Department: | Mathematics and Statistics |
Publication Date: | 18-Jun-2018 |
Abstract: | In this thesis, we define and describe the rings of conditions of rank 1 spherical homogeneous spaces G/H. A procedure for computing the ring of conditions of a spherical homogeneous space in general is not known. For the special case of rank 1 spherical homogeneous spaces, we give a proof of the unpublished result of A. Khovanskii that the ring of conditions is isomorphic to the cohomology ring of a certain compactification of G/H. We illustrate this result through the fully worked example of affine n-space minus the origin. |
URI: | http://hdl.handle.net/11375/22737 |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
gibson_julia_f_finalsubmission2018april_msc.pdf | 352.7 kB | Adobe PDF | View/Open |
Items in MacSphere are protected by copyright, with all rights reserved, unless otherwise indicated.