{
  "id": "1911.07008",
  "version": "v1",
  "published": "2019-11-16T10:26:37.000Z",
  "updated": "2019-11-16T10:26:37.000Z",
  "title": "First homology of a real cubic is generated by lines",
  "authors": [
    "Sergey Finashin",
    "Viatcheslav Kharlamov"
  ],
  "comment": "7 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We suggest a short proof of O.Benoist and O.Wittenberg theorem (arXiv:1907.10859) which states that for each real non-singular cubic hypersurface $X$ of dimension $\\ge 2$ the real lines on $X$ generate the whole group $H_1(X(\\Bbb R);\\Bbb Z/2)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-16T10:26:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14P25"
    ],
    "keywords": [
      "first homology",
      "real cubic",
      "real non-singular cubic hypersurface",
      "wittenberg theorem",
      "short proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}