Rings of Conditions of Rank 1 Spherical Varieties
| Autor: | Gibson, Julia |
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| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Druh dokumentu: | Diplomová práce |
| Popis: | 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 For the special case of rank 1 spherical homogeneous spaces, we give a proof of the unpublished result of A. Khovanskii that the ring of conditions is isomorphic to the cohomology ring of a certain compactification of G/H. We illustrate this result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. Thesis Master of Science (MSc) 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. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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