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.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:563767 |
| Date | January 2012 |
| Creators | Meachan, Ciaran |
| Contributors | Maciocia, Antony. : Gordon, Iain |
| Publisher | University of Edinburgh |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | http://hdl.handle.net/1842/6230 |
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