{
  "id": "math/0212169",
  "version": "v1",
  "published": "2002-12-12T02:38:36.000Z",
  "updated": "2002-12-12T02:38:36.000Z",
  "title": "The Waring loci of ternary quartics",
  "authors": [
    "Jaydeep Chipalkatti"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "Let F denote a homogeneous degree 4 polynomial in 3 variables, and let s be an integer between 1 and 5. We would like to know if F can be written as a sum of fourth powers of s linear forms (or a degeneration). We determine necessary and sufficient conditions for this to be possible. These conditions are expressed as the vanishing of certain concomitants of F for the natural action of SL_3.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-12-12T02:38:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ternary quartics",
      "waring loci",
      "fourth powers",
      "natural action",
      "sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....12169C"
    }
  }
}