Constructible motivic functions and motivic integration

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dc.creatorCluckers, R.
dc.creatorLoeser, F.
dc.date2004-10-07
dc.date2008-05-29
dc.date.accessioned2026-07-07T09:41:24Z
dc.date.available2026-07-07T09:41:24Z
dc.descriptionWe 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. These results have been announced in math.AG/0403349 and math.AG/0403350. Main results and statements unchanged. Many minor slips corrected and some details added.
dc.descriptionFinal version
dc.identifierhttps://arxiv.org/abs/math/0410203
dc.identifierhttp://arxiv.org/abs/math/0410203
dc.identifierInvent. Math. 173 (2008), 23--121
dc.identifierdoi:10.1007/s00222-008-0114-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161816
dc.subjectAlgebraic Geometry
dc.subjectLogic
dc.subjectNumber Theory
dc.subject14G20 (Primary) 03C10, 11S80, 11U09, 15G05 (Secondary)
dc.titleConstructible motivic functions and motivic integration
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