Constructible motivic functions and motivic integration
Algebraic Geometry
2008-05-29 v3 Logic
Number Theory
Abstract
We introduce a direct image formalism for constructible motivic functions. One deduces a very general version of motivic integration for which a change of variables theorem is proved. These constructions are generalized to the relative framework, in which we develop a relative version of motivic integration. These results have been announced in math.AG/0403349 and math.AG/0403350. Main results and statements unchanged. Many minor slips corrected and some details added.
Keywords
Cite
@article{arxiv.math/0410203,
title = {Constructible motivic functions and motivic integration},
author = {R. Cluckers and F. Loeser},
journal= {arXiv preprint arXiv:math/0410203},
year = {2008}
}
Comments
Final version