Motivic integration over Deligne-Mumford stacks
Algebraic Geometry
2007-05-23 v5
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 stacks.
Cite
@article{arxiv.math/0312115,
title = {Motivic integration over Deligne-Mumford stacks},
author = {Takehiko Yasuda},
journal= {arXiv preprint arXiv:math/0312115},
year = {2007}
}
Comments
60 pages ; v.2, minor changes, references added ; v.3, a largely revised version. The base field is now assumed only to be perfect ; v.4, rewritten in detail. the set in which integrals take values is now the semiring of equivalence classes of convergent stacks. a result on the discrepancy of quotient stacks has been added; v.5, very slight modification. some historical accounts have been corrected