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Moduli of Bridgeland-Stable objects

In this thesis we investigate wall-crossing phenomena in the stability manifold of an irreducible principally polarized abelian surface for objects with the same invariants as (twists of) ideal sheaves of points. In particular, we construct a sequence of fine moduli spaces which are related by Mukai flops and observe that the stability of these objects is completely determined by the configuration of points. Finally, we use Fourier-Mukai theory to show that these moduli are projective.

Identiferoai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:563767
Date January 2012
CreatorsMeachan, Ciaran
ContributorsMaciocia, Antony. : Gordon, Iain
PublisherUniversity of Edinburgh
Source SetsEthos UK
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation
Sourcehttp://hdl.handle.net/1842/6230

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