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Motivic Integration, Quotient Singularities and the McKay Correspondence

Published online by Cambridge University Press:  04 December 2007

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.

Type
Research Article
Copyright
© 2002 Kluwer Academic Publishers
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