{
  "id": "1902.01773",
  "version": "v1",
  "published": "2019-02-05T16:32:19.000Z",
  "updated": "2019-02-05T16:32:19.000Z",
  "title": "A complete classification of well-rounded real quadratic ideal lattices",
  "authors": [
    "Anitha Srinivasan"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We provide a complete classification of well-rounded ideal lattices arising from real quadratic fields. We show that the ideals that give rise to such lattices are precisely the ones that correspond to divisors $a$ of the discriminant $d$ that satisfy $\\sqrt{\\frac{d}{3}}<a<\\sqrt{3d}.$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-05T16:32:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "well-rounded real quadratic ideal lattices",
      "complete classification",
      "real quadratic fields",
      "well-rounded ideal lattices arising"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}