{
  "id": "1610.02240",
  "version": "v1",
  "published": "2016-10-07T12:11:42.000Z",
  "updated": "2016-10-07T12:11:42.000Z",
  "title": "Picard group of the forms of the affine line and of the additive group",
  "authors": [
    "Raphaël Achet"
  ],
  "categories": [
    "math.AG",
    "math.GR"
  ],
  "abstract": "We obtain an explicit upper bound on the torsion of the Picard group of the forms of the affine line and of the additive group, and a sufficient condition for this Picard group to be non trivial. We also give examples of non trivial forms of the affine line with trivial Picard groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-07T12:11:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "affine line",
      "additive group",
      "non trivial forms",
      "explicit upper bound",
      "trivial picard groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}