{
  "id": "2006.14878",
  "version": "v1",
  "published": "2020-06-26T09:21:26.000Z",
  "updated": "2020-06-26T09:21:26.000Z",
  "title": "$q-$spherical surfaces in Euclidean space",
  "authors": [
    "Sonja Gorjanc",
    "Ema Jurkin"
  ],
  "categories": [
    "math.MG"
  ],
  "abstract": "In this paper we define $q$-spherical surfaces as the surfaces that contain the absolute conic of the Euclidean space as a $q-$fold curve. Particular attention is paid to the surfaces with singular points of the highest order. Two classes of such surfaces, with one and two $n-$fold points, are discussed in detail. We study their properties, give their algebraic equations and visualize them with the program {\\it Mathematica}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-26T09:21:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51N20",
      "51M15"
    ],
    "keywords": [
      "euclidean space",
      "spherical surfaces",
      "algebraic equations",
      "absolute conic",
      "singular points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}