{
  "id": "math/0610132",
  "version": "v1",
  "published": "2006-10-04T00:40:22.000Z",
  "updated": "2006-10-04T00:40:22.000Z",
  "title": "Hilbert's Tenth Problem for function fields of varieties over number fields and p-adic fields",
  "authors": [
    "Kirsten Eisentraeger"
  ],
  "comment": "19 pages; to appear in Journal of Algebra",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let k be a subfield of a p-adic field of odd residue characteristic, and let L be the function field of a variety of dimension n >= 1 over k. Then Hilbert's Tenth Problem for L is undecidable. In particular, Hilbert's Tenth Problem for function fields of varieties over number fields of dimension >= 1 is undecidable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-10-04T00:40:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11U05",
      "03B25"
    ],
    "keywords": [
      "function field",
      "number fields",
      "p-adic field",
      "odd residue characteristic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10132E"
    }
  }
}