{
  "id": "0809.0473",
  "version": "v2",
  "published": "2008-09-02T18:22:54.000Z",
  "updated": "2010-12-29T19:39:55.000Z",
  "title": "Integration in algebraically closed valued fields",
  "authors": [
    "Yimu Yin"
  ],
  "comment": "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"
  ],
  "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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-12-29T19:39:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C60",
      "11S80"
    ],
    "keywords": [
      "algebraically closed valued fields",
      "final third step",
      "motivic integration",
      "fundamental work",
      "pure characteristic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.0473Y"
    }
  }
}