Thesis icon

Thesis

Non-reductive geometric invariant theory and compactifications of enveloped quotients

Abstract:

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...

Expand abstract

Actions


Access Document


Files:

Authors


More by this author
Institution:
University of Oxford
Oxford college:
Balliol College
Role:
Author

Contributors

Institution:
University of Oxford
Oxford college:
Balliol College
Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:acc83677-489e-4b34-96af-45de72e6406c
Deposit date:
2016-05-30

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP