Ax-Kochen-Er{š}ov Theorems for $p$-adic integrals and motivic integration

Simple item page
dc.creatorCluckers, R.
dc.creatorLoeser, F.
dc.date2004-10-08
dc.date.accessioned2026-07-07T05:13:05Z
dc.date.available2026-07-07T05:13:05Z
dc.descriptionThis 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-Kochen-Er{š}ov to $p$-adic integrals in a motivic setting, using the framework of constructible motivic functions we introduced in math.AG/0410203. We conclude the paper by discussing briefly the relevance of our results to the study of orbital integrals and the Fundamental Lemma.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0410223
dc.identifierhttp://arxiv.org/abs/math/0410223
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72815
dc.subjectAlgebraic Geometry
dc.subjectLogic
dc.subjectNumber Theory
dc.subject14G20 (Primary) 03C10, 11S80, 11U09, 22E50 (Secondary)
dc.titleAx-Kochen-Er{š}ov Theorems for $p$-adic integrals and motivic integration
dc.typetext

Files

Collections

arXiv