Motivic integration and the Grothendieck group of pseudo-finite fields

2002/07/19 by Jan Denef, J. Denef, Denef, J. +3
Mathematics · #Advanced Topology and Set Theory #Algebraic Geometry and Number Theory #advanced mathematical theories #math.AG #math.LO #math.NT #msc:03C10 #msc:03C98 #msc:11G25 #msc:11S40 #msc:12E30 #msc:12L10 #msc:12L12 #msc:14F20 #msc:14G15 #msc:14G20

paper · pdf · doi:10.48550/arxiv.math/0207163

11 pages

arxiv created 2002/07/19 · arxiv updated 2009/11/30

Abstract

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 of a very general type depend on p.

Related

• An overview of arithmetic motivic integration
• Computing p-adic integrals using motivic integration
• Can p-adic integrals be computed?
• An Introduction to Motivic Integration
• What is Motivic Measure?