Constructible motivic functions and motivic integration

R. Cluckers; F. Loeser

doi:10.1007/s00222-008-0114-1

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Constructible motivic functions and motivic integration

R. Cluckers·F. Loeser

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Abstract

We 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.

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BibTeX RIS

R. Cluckers, F. Loeser. 2008-05-29. Constructible motivic functions and motivic integration. https://doi.org/10.1007/s00222-008-0114-1

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