Constructible motivic functions and motivic integration

Details Constructible motivic functions and motivic integration Constructible motivic functions and motivic integration

2004-10-07

arxiv.org/abs/math/0410203v3

Invent. Math. 173 (2008), 23--121

Mathematics

Algebraic Geometry

Final version

Scientific paper

10.1007/s00222-008-0114-1

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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