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Towards A Stability Condition on the Quintic Threefold

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Date
2010
Author
Roy, Arya
Advisor
Aspinwall, Paul S
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Abstract

In this thesis we try to construct a stability condition on the quintic threefold. We have not succeeded in proving the existence of such a stability condition. However we have constructed a stability condition on a quotient category of projective space that approximates the quintic. We conjecture the existence of a stability condition on the quintic threefold generated by spherical objects and explore some consequences.

Type
Dissertation
Department
Mathematics
Subject
Mathematics
Algebraic Geometry
Derived category
Stability Condition
Permalink
https://hdl.handle.net/10161/2976
Citation
Roy, Arya (2010). Towards A Stability Condition on the Quintic Threefold. Dissertation, Duke University. Retrieved from https://hdl.handle.net/10161/2976.
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