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http://hdl.handle.net/11375/22737Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | Harada, Megumi | - |
| dc.contributor.author | Gibson, Julia | - |
| dc.date.accessioned | 2018-04-23T16:34:35Z | - |
| dc.date.available | 2018-04-23T16:34:35Z | - |
| dc.date.issued | 2018-06-18 | - |
| dc.identifier.uri | http://hdl.handle.net/11375/22737 | - |
| dc.description.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 For the special case of rank 1 spherical homogeneous spaces, we give a proof of the unpublished result of A. Khovanskii that the ring of conditions is isomorphic to the cohomology ring of a certain compactification of G/H. We illustrate this result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. | en_US |
| dc.language.iso | en | en_US |
| dc.title | Rings of Conditions of Rank 1 Spherical Varieties | en_US |
| dc.type | Thesis | en_US |
| dc.contributor.department | Mathematics and Statistics | en_US |
| dc.description.degreetype | Thesis | en_US |
| dc.description.degree | Master of Science (MSc) | en_US |
| dc.description.layabstract | We study an algebraic object that describes intersections of certain geometric spaces. An algorithm or formula for computing this object for a given geometric space is not known in general. We provide a technique for computing this algebraic object in a special case. | en_US |
| 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 |
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