Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.563767
Title: Moduli of Bridgeland-Stable objects
Author: Meachan, Ciaran
Awarding Body: University of Edinburgh
Current Institution: University of Edinburgh
Date of Award: 2012
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Abstract:
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: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.563767  DOI: Not available
Keywords: moduli space ; Hilbert scheme ; abelian surface ; Bridgeland stability ; wall-crossing ; projectivity
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