English

Fonctions constructibles et int\'egration motivique I

Algebraic Geometry 2007-05-23 v1 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.

Keywords

Cite

@article{arxiv.math/0403349,
  title  = {Fonctions constructibles et int\'egration motivique I},
  author = {R. Cluckers and F. Loeser},
  journal= {arXiv preprint arXiv:math/0403349},
  year   = {2007}
}

Comments

7 pages

R2 v1 2026-07-22T17:03:35.229Z