{
  "id": "math/0406288",
  "version": "v1",
  "published": "2004-06-15T09:11:47.000Z",
  "updated": "2004-06-15T09:11:47.000Z",
  "title": "Singularities of linear systems and the Waring Problem",
  "authors": [
    "Massimiliano Mella"
  ],
  "comment": "15 pages AmsLaTeX2e",
  "categories": [
    "math.AG"
  ],
  "abstract": "Waring problem for homogeneus forms asks for additive decomposition of a form $f$ into powers of linear forms. A classical problem is to determine when such a decomposition is unique. In this paper I answer this question when the degree of $f$ is greater than the number of variables. To do this I translate the algebraic statement into a geometric one concerning the singularities of linear systems of $P^n$ with assigned singularities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-06-15T09:11:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J70",
      "14N05",
      "14E05"
    ],
    "keywords": [
      "linear systems",
      "waring problem",
      "singularities",
      "homogeneus forms asks",
      "linear forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......6288M"
    }
  }
}