Integration in algebraically closed valued fields

Details Integration in algebraically closed valued fields Integration in algebraically closed valued fields

2008-09-02

arxiv.org/abs/0809.0473v2

Mathematics

Logic

This new paper and arXiv:1006.2467v1 are the published version of the old paper. To appear in the Annals of Pure and Applied L

Scientific paper

The first two steps of the construction of motivic integration in the fundamental work of Hrushovski and Kazhdan have been presented in arXiv:1006.2467v1. In this paper we present the final third step. As in arXiv:1006.2467v1, we limit our attention to the theory of algebraically closed valued fields of pure characteristic 0 expanded by a (VF, \Gamma)-generated substructure S in the language L_{RV}. A canonical description of the kernel of the lifting map is obtained.

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