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About: Crepant resolution     Goto   Sponge   NotDistinct   Permalink

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In algebraic geometry, a crepant resolution of a singularity is a resolution that does not affect the canonical class of the manifold. The term "crepant" was coined by Miles Reid by removing the prefix "dis" from the word "discrepant", to indicate that the resolutions have no discrepancy in the canonical class. The crepant resolution conjecture of states that the orbifold cohomology of a Gorenstein orbifold is isomorphic to a semiclassical limit of the quantum cohomology of a crepant resolution.