{
  "id": "math/9912016",
  "version": "v1",
  "published": "1999-12-02T10:00:52.000Z",
  "updated": "1999-12-02T10:00:52.000Z",
  "title": "Vanishing topology of codimension 1 multi-germs over R and C",
  "authors": [
    "Thomas Cooper",
    "David Mond",
    "Roberta Wik Atique"
  ],
  "comment": "35 pages, 4 figures",
  "categories": [
    "math.AG"
  ],
  "abstract": "We construct all codimension 1 multi-germs of maps (k^n,T)-->(k^p,0) with n > p-2, (n,p) nice dimensions, k = R or C, by augmentation and concetenation operations, starting from mon-germs (|T|=1). As an application, we prove general results for multi-germs of corank <2: every one has a real form with real perturbation carrying the vanishing homology of the complexification, every one is quasihomogeneous, and when n=p-1 every one has image Milnor number equal to 1 (the comparable result for n>p-1 being already known).",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-12-02T10:00:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32S05",
      "32S30",
      "14B05"
    ],
    "keywords": [
      "vanishing topology",
      "multi-germs",
      "codimension",
      "nice dimensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math.....12016C"
    }
  }
}