The Derived Category and the Singularity Category

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Doctor of Philosophy (PhD)
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Mathematics
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Algebra
Algebraic Geometry
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https://repository.upenn.edu/handle/20.500.14332/30186
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We prove an equivalence between the derived category of a variety and the equivari- ant/graded singularity category of a corresponding singular variety. The equivalence also holds at the dg level.

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Tony Pantev
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2011-05-16
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