13 citations · 20 across the 3 of their papers we have counts for
4 papers
Ax-Kochen-Er{š}ov Theorems for -adic integrals and motivic integration
R. Cluckers, F. Loeser
This survey paper, to appear in he proceedings of the Miami Winter School ``Geometric Methods in Algebra and Number Theory'', is concerned with extending classical results à la Ax-…
On some rational generating series occuring in arithmetic geometry
J. Denef, F. Loeser
We illustrate the principle: rational generating series occuring in arithmetic geometry are motivic in nature.
Motivic integration and the Grothendieck group of pseudo-finite fields
J. Denef, F. Loeser
We survey our recent work on an extension of the theory of motivic integration, called arithmetic motivic integration. We developed this theory to understand how p-adic integrals o…
Geometry on arc spaces of algebraic varieties
J. Denef, F. Loeser
This paper is a survey on arc spaces, a recent topic in algebraic geometry and singularity theory. The geometry of the arc space of an algebraic variety yields several new geometri…