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arXiv:0809.0473 [math.LO]AbstractReferencesReviewsResources

Integration in algebraically closed valued fields

Yimu Yin

Published 2008-09-02, updated 2010-12-29Version 2

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.

Comments: This new paper and arXiv:1006.2467v1 are the published version of the old paper. To appear in the Annals of Pure and Applied Logic
Categories: math.LO, math.AG
Subjects: 03C60, 11S80
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