The Derived Category and the Singularity Category
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Degree type
Doctor of Philosophy (PhD)
Graduate group
Mathematics
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Algebra
Algebraic Geometry
Algebraic Geometry
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Abstract
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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2011-05-16