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THE GLOBAL MCKAY–RUAN CORRESPONDENCE VIA MOTIVIC INTEGRATION

Published online by Cambridge University Press:  14 June 2004

ERNESTO LUPERCIO
Affiliation:
Department of Mathematics, University of Wisconsin at Madison, Madison, WI 53706, [email protected]
MAINAK PODDAR
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, MI 48824, [email protected]
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Abstract

The purpose of this paper is to show how the methods of motivic integration of Kontsevich, Denef–Loeser (Invent. Math. 135 (1999) 201–232 and Compositio Math. 131 (2002) 267–290) and Looijenga (Astérisque 276 (2002) 267–297) can be adapted to prove the McKay–Ruan correspondence, a generalization of the McKay–Reid correspondence to orbifolds that are not necessarily global quotients.

Keywords

Type
Papers
Copyright
© The London Mathematical Society 2004

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