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Motivic Integration, Quotient Singularities and the McKay Correspondence

Published online by Cambridge University Press:  04 December 2007

Jan Denef  and
François Loeser
Jan Denef
Affiliation:
University of Leuven, Department of Mathematics, Celestijnenlaan 200B, 3001 Leuven, Belgium. E-mail: jan.denef@wis.kuleuven.ac.be
François Loeser
Affiliation:
Département de mathématiques et applications, École Normale Supérieure, 45 rue d'Ulm, 75230 Paris Cedex 05, France (UMR 8553 du CNRS). E-mail: François.Loeser@ens.fr
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Abstract

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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.

Keywords

Motivic integrationMcKay correspondencequotient singularitiesorbifold
Type
Research Article
Information
Compositio Mathematica , Volume 131 , Issue 3 , May 2002 , pp. 267 - 290
Copyright
© 2002 Kluwer Academic Publishers