Towards A Stability Condition on the Quintic Threefold

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Date

2010

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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.

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Dissertation

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Mathematics

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Mathematics, Algebraic geometry, Derived category, Stability Condition

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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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