arXiv subjects

R. Cluckers

Publications and source records attributed to R. Cluckers.

20 records · Page 2Linked to original sources

arXiv2004

Fonctions constructibles et intégration motivique I

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.

math.AG↗

arXiv2004

Fonctions constructibles et intégration motivique II

We extend the formalism of I to a global setting for which a theorem on fiber integrals and a Fubini theorem are obtained. We compare our formalism to the previous constructions of motivic integration in the geometric and arithmetic cases.

math.AG↗