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Thesis

Non-reductive geometric invariant theory and its applications to Higgs bundles

Abstract:

Geometric Invariant Theory (GIT) is a powerful theory for constructing and studying the geometry of moduli spaces in algebraic geometry, as quotients of a parameter space by a linear group action. However GIT only applies to classification problems involving reductive group actions, and only produces a moduli space for the subclass of "stable" objects. Non-Reductive GIT was developed over the last ten years to overcome these limitations.

The aim of this thesis is firstly to descri...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Sub department:
Mathematical Institute
Oxford college:
Balliol College
Role:
Author

Contributors

Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Sub department:
Mathematical Institute
Oxford college:
New College
Role:
Supervisor
Institution:
Technical Universty of Munich
Role:
Supervisor
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Sub department:
Mathematical Institute
Oxford college:
St Peter's College
Role:
Examiner
Institution:
University of York
Role:
Examiner
More from this funder
Name:
General Sir John Monash Foundation
Funding agency for:
Hamilton, E
Grant:
N/A
Programme:
John Monash Scholarship
More from this funder
Name:
Centre for Quantum Geometry of Moduli Spaces (Aarhus University) and Danish National Research Foundation.
Funding agency for:
Hamilton, E
Grant:
N/A
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford

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