Derived category and cohomology of resolutions of singularities: examples from representation theory.
In this thesis, we study examples of noncommutative crepant resolutions of determinantal varieties, noncommutative symplectic varieties, and elliptic genera. All of these examples are motivated by the problem of comparing the derived categories, cohomology rings, and Chern numbers of two smooth vari...
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| Online Access: | http://hdl.handle.net/2047/d20005066 |
| Summary: | In this thesis, we study examples of noncommutative crepant resolutions of determinantal varieties, noncommutative symplectic varieties, and elliptic genera. All of these examples are motivated by the problem of comparing the derived categories, cohomology rings, and Chern numbers of two smooth varieties related by a flop. |
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