Integration in algebraically closed valued fields
Logic
2010-12-30 v2 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.0809.0473,
title = {Integration in algebraically closed valued fields},
author = {Yimu Yin},
journal= {arXiv preprint arXiv:0809.0473},
year = {2010}
}
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