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20002004
most citedMotivic integration and the Grothendieck group of pseudo-finite fields

13 citations · 20 across the 3 of their papers we have counts for

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math.AG2002★ 13 cited

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…

math.AG2000

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…