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Please use this identifier to cite or link to this item:
http://hdl.handle.net/1842/6230
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| Title: | Moduli of Bridgeland-Stable objects |
| Authors: | Meachan, Ciaran |
| Supervisor(s): | Maciocia, Antony
Gordon, Iain |
| Issue Date: | 25-Jun-2012 |
| Publisher: | The University of Edinburgh |
| 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. |
| Sponsor(s): | Engineering and Physical Sciences Research Council (EPSRC) |
| Keywords: | moduli space
Hilbert scheme
abelian surface
Bridgeland stability
wall-crossing
projectivity |
| URI: | http://hdl.handle.net/1842/6230 |
| Appears in Collections: | Mathematics thesis and dissertation collection
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