{
  "id": "1510.05369",
  "version": "v1",
  "published": "2015-10-19T06:50:46.000Z",
  "updated": "2015-10-19T06:50:46.000Z",
  "title": "Sums-of-Squares Formulas over Algebraically Closed Fields",
  "authors": [
    "Melissa Lynn"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper, we consider whether existence of a sums-of-squares formula depends on the base field. We reformulate the question of existence as a question in algebraic geometry. We show that if a formula exists in characteristic 0, then a formula exists over all algebraically closed fields, as well as some related results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-19T06:50:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "algebraically closed fields",
      "sums-of-squares formula",
      "base field",
      "algebraic geometry"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151005369L"
    }
  }
}