{
  "id": "1212.5698",
  "version": "v2",
  "published": "2012-12-22T15:21:24.000Z",
  "updated": "2013-09-14T18:19:36.000Z",
  "title": "Some remarks about the Zariski topology of the Cremona group",
  "authors": [
    "Ivan Pan",
    "Alvaro Rittatore"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "For an algebraic variety $X$ we study the behavior of algebraic morphisms from an algebraic variety to the group $\\bir(X)$ of birational maps of $X$ and obtain, as application, some insight about the relationship between the so-called Zariski topology of $\\bir(X)$ and the algebraic structure of this group, where $X$ is a rational variety.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-09-14T18:19:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "zariski topology",
      "cremona group",
      "algebraic variety",
      "algebraic structure",
      "birational maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.5698P"
    }
  }
}