2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143648The 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.21 pagesAlgebraic Geometry14A15; 14A20; 14B05; 32S45; 32S05; 32S35text