{
  "id": "0909.1993",
  "version": "v2",
  "published": "2009-09-10T17:22:16.000Z",
  "updated": "2009-12-20T05:44:07.000Z",
  "title": "On the existence of geometric models for function fields in several variables",
  "authors": [
    "Feng-Wen An"
  ],
  "comment": "9 pages. Made changes in: Section 2.1, Page 3; Section 3.1, Page 6",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "In this paper we will give an explicit construction of the geometric model for a prescribed extension of a function field in several variables over a number field. As a by-product, we will also prove the existence of quasi-galois closed covers of arithmetic schemes (in eprint arXiv:0907.0842).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-12-20T05:44:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G35",
      "14J50"
    ],
    "keywords": [
      "function field",
      "geometric model",
      "number field",
      "explicit construction",
      "quasi-galois closed covers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.1993A"
    }
  }
}