Towards A Stability Condition on the Quintic Threefold

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Aspinwall, Paul S

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Roy, Arya

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2011-01-05T14:40:04Z

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2011-01-05T14:40:04Z

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2010

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Mathematics

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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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https://hdl.handle.net/10161/2976

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Mathematics

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Algebraic geometry

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Derived category

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Stability Condition

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Towards A Stability Condition on the Quintic Threefold

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Dissertation

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