{
  "id": "1307.3977",
  "version": "v2",
  "published": "2013-07-15T14:54:36.000Z",
  "updated": "2013-11-12T15:56:41.000Z",
  "title": "Compositions of birational endomorphisms of the affine plane",
  "authors": [
    "Pierrette Cassou-Noguès",
    "Daniel Daigle"
  ],
  "comment": "37 pages. Typos corrected, 3.16 improved, one reference added",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let A^2 denote the affine plane over an algebraically closed field of arbitrary characteristic. Besides contributing several new results in the general theory of birational endomorphisms of A^2, this article describes certain classes of birational endomorphisms f defined by requiring that the missing curves or contracting curves of f are lines. The last part of the article is concerned with the monoid structure of the set of birational endomorphisms of A^2.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-12T15:56:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14R10",
      "14H50"
    ],
    "keywords": [
      "birational endomorphisms",
      "affine plane",
      "compositions",
      "monoid structure",
      "general theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.3977C"
    }
  }
}