Motivic Integration, Quotient Singularities and the McKay Correspondence
Jan Denef a1andFrançois Loeser a2 a1 University of Leuven, Department of Mathematics, Celestijnenlaan 200B, 3001 Leuven, Belgium. E-mail: email@example.com a2 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
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.