@article{d7442dd707ba46398606e03e761d4c8d,
title = "Motivic integration over Deligne-Mumford stacks",
abstract = "The aim of this article is to develop the theory of motivic integration over Deligne-Mumford stacks and to apply it to the birational geometry of Deligne-Mumford stacks.",
keywords = "Deligne-Mumford stack, McKay correspondence, Motivic integration, Twisted jet",
author = "Takehiko Yasuda",
note = "Funding Information: I am deeply grateful to Yujiro Kawamata and Fran{\c c}ois Loeser for their encouragement and useful advice. I would also like to thank Masao Aoki, Julien Sebag and Orlando Villamayor for useful conversations, and Sindhumathi Revuluri and Laura Sobrin for their proofreading. I have written this paper during my stay at the {\'E}cole Normale Sup{\'e}rieure. I was fortunate enough to study in a favorable environment. Financial support has been provided by the Japan Society for the Promotion of Science. Copyright: Copyright 2006 Elsevier B.V., All rights reserved.",
year = "2006",
month = dec,
day = "20",
doi = "10.1016/j.aim.2006.01.004",
language = "English",
volume = "207",
pages = "707--761",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",
number = "2",
}