{
  "id": "1003.2095",
  "version": "v1",
  "published": "2010-03-10T12:39:22.000Z",
  "updated": "2010-03-10T12:39:22.000Z",
  "title": "Geometric algebra of projective lines",
  "authors": [
    "Anders Kock"
  ],
  "comment": "12 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "The projective line over a field carries structure of a groupoid with a certain correspondence between objects and arrows. We discuss to what extent the field can be reconstructed from the groupoid.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-10T12:39:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14Dxx",
      "51-xx"
    ],
    "keywords": [
      "projective line",
      "geometric algebra",
      "field carries structure",
      "correspondence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.2095K"
    }
  }
}