{
  "id": "math/0509587",
  "version": "v6",
  "published": "2005-09-25T16:45:57.000Z",
  "updated": "2007-06-05T10:37:46.000Z",
  "title": "The Specializations in a Scheme",
  "authors": [
    "Feng-Wen An"
  ],
  "comment": "Revised. 14 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper we will obtain some further properties for specializations in a scheme. Using these results, we will take a picture for a scheme and a picture for a morphism of schemes. In particular, we will prove that every morphism of schemes is specialization-preserving and of norm not greater than one (under some condition); a necessary and sufficient condition will be given for an injective morphism of irreducible schemes.",
  "revisions": [
    {
      "version": "v6",
      "updated": "2007-06-05T10:37:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14A15",
      "14A25",
      "14C99",
      "14M05"
    ],
    "keywords": [
      "specializations",
      "sufficient condition",
      "properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......9587A"
    }
  }
}