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Motivic integration, quotient singularities and the McKay correspondence

J. Denef, F. Loeser

math.AGarXiv:math/9903187

Abstract

The present work is devoted to the study of motivic integration on quotient singularities. We give a new proof of a form of the McKay correspondence previously proved by Batyrev. The paper contains also some general results on motivic integration on arbitrary singular spaces.

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