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Thesis

Universal moduli of parabolic sheaves on stable marked curves

Abstract:

The topic of this thesis is the moduli theory of (parabolic) sheaves on stable curves. Using geometric invariant theory (GIT), universal moduli spaces of semistable parabolic sheaves on stable marked curves are constructed: `universal' indicates that these are moduli spaces of pairs where the underlying marked curve may vary as well as the parabolic sheaf (as in the Pandharipande moduli space for pairs of stable curves and torsion-free sheaves without augmentations).

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Institution:
University of Oxford
Oxford college:
Merton College
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute

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Role:
Supervisor
Publication date:
2011
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
URN:
uuid:b0260f8e-6654-4bec-b670-5e925fd403dd
Local pid:
ora:8537

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