- Abstract:
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In this thesis we develop a framework for constructing quotients of varieties by actions of linear algebraic groups which is similar in spirit to that of Mumford's geometric invariant theory. This is done by extending the work of Doran and Kirwan in the unipotent setting to deal with more general non-reductive groups.
Given a linear algebraic group acting on an irreducible variety with a linearisation, an open subset of stable points is identified that admits a geometric qu...
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- Department:
- Balliol College, University of Oxford
- Role:
- Supervisor
- Grant:
- 1105759
- Funding agency for:
- Project
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
- Language:
- English
- Keywords:
- Subjects:
- Copyright holder:
- Thomas James Keith Hawes
- Copyright date:
- 2015
Thesis
Non-reductive geometric invariant theory and compactifications of enveloped quotients
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Authors
Contributors
+ Prof. Frances Kirwan
Funding
+ Engineering and Physical Sciences Research Council
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