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The Global Mckay–Ruan Correspondence Via Motivic Integration
Author(s) -
Lupercio Ernesto,
Poddar Mainak
Publication year - 2004
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s002460930300290x
Subject(s) - mathematics , generalization , quotient , pure mathematics , algebra over a field , mathematics subject classification , subject (documents) , mathematical analysis , computer science , library science
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. 2000 Mathematics Subject Classification 14A20, 14E15, 14F43.