An introduction to motivic integration
نویسنده
چکیده
By associating a ‘motivic integral’ to every complex projective variety X with at worst canonical, Gorenstein singularities, Kontsevich [Kon95] proved that, when there exists a crepant resolution of singularities φ : Y → X, the Hodge numbers of Y do not depend upon the choice of the resolution. In this article we provide an elementary introduction to the theory of motivic integration, leading to a proof of the result described above. We calculate the motivic integral of several quotient singularities and discuss these calculations in the context of the cohomological McKay correspondence.
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