{
  "id": "math/0109144",
  "version": "v1",
  "published": "2001-09-20T14:23:05.000Z",
  "updated": "2001-09-20T14:23:05.000Z",
  "title": "Elementary equivalence versus Isomorphism",
  "authors": [
    "Florian Pop"
  ],
  "categories": [
    "math.AG",
    "math.LO"
  ],
  "abstract": "How does the first order language of fields encode birational invariants of varieties?... This question is related to rational points on varieties and effectiveness in algebraic/arithmetic geometry.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-09-20T14:23:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "elementary equivalence",
      "fields encode birational invariants",
      "isomorphism",
      "first order language",
      "rational points"
    ],
    "publication": {
      "doi": "10.1007/s00222-002-0238-7",
      "journal": "Inventiones Mathematicae",
      "year": 2002,
      "month": "Nov",
      "volume": 150,
      "number": 2,
      "pages": 385
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002InMat.150..385P"
    }
  }
}