{
  "id": "2002.05617",
  "version": "v1",
  "published": "2020-02-13T16:43:26.000Z",
  "updated": "2020-02-13T16:43:26.000Z",
  "title": "Waring rank of binary forms, harmonic cross-ratio and golden ratio",
  "authors": [
    "Alexandru Dimca",
    "Gabriel Sticlaru"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We discuss the Waring rank of binary forms of degree 4 and 5, without multiple factors, and point out unexpected relations to the harmonic cross-ratio, j-invariants and the golden ratio. These computations of ranks for binary forms are used to show that the combinatorics of a line arrangement in the complex projective plane does not determine the Waring rank of the defining equation even in very simple situations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-13T16:43:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "binary forms",
      "waring rank",
      "harmonic cross-ratio",
      "golden ratio",
      "multiple factors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}