Motivic Integration, Quotient Singularities and the McKay Correspondence

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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Bibliographic Details
Published inCompositio mathematica Vol. 131; no. 3; pp. 267 - 290
Main Authors Denef, Jan, Loeser, François
Format Journal Article
LanguageEnglish
Published London, UK London Mathematical Society 01.05.2002
Cambridge University Press
Subjects
orbifold
Motivic integration
McKay correspondence
quotient singularities
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Summary: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.
ISSN:0010-437X
1570-5846
DOI:10.1023/A:1015565912485