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Thesis

Moduli spaces of unstable curves and sheaves via non-reductive geometric invariant theory

Abstract:

Many moduli problems in algebraic geometry can be posed using Geometric Invariant Theory (GIT). However, as with all such tools, if we are to have any hope of obtaining a well-behaved moduli space, certain objects, which are in whatever sense degenerate, must be ruled ‘unstable’ and left out of the classification. The goal of this thesis is to show how new results in non-reductive GIT may be used to construct moduli spaces that parameterise these unstable objects. Once a moduli problem is...

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Joshua James Jackson More by this author

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Role:
Supervisor
Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford

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