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Title: Moduli of Bridgeland-Stable objects
Author: Meachan, Ciaran
ISNI:       0000 0004 2733 4633
Awarding Body: University of Edinburgh
Current Institution: University of Edinburgh
Date of Award: 2012
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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.
Supervisor: Maciocia, Antony. ; Gordon, Iain. Sponsor: Engineering and Physical Sciences Research Council (EPSRC)
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: moduli space ; Hilbert scheme ; abelian surface ; Bridgeland stability ; wall-crossing ; projectivity