{
  "id": "math/0608267",
  "version": "v3",
  "published": "2006-08-10T20:06:24.000Z",
  "updated": "2007-05-25T12:15:12.000Z",
  "title": "Degree growth of meromorphic surface maps",
  "authors": [
    "S. Boucksom",
    "C. Favre",
    "M. Jonsson"
  ],
  "comment": "17 pages, final version, to appear in Duke Math Journal",
  "categories": [
    "math.DS",
    "math.AG"
  ],
  "abstract": "We study the degree growth of iterates of meromorphic selfmaps of compact Kahler surfaces. Using cohomology classes on the Riemann-Zariski space we show that the degrees grow similarly to those of mappings that are algebraically stable on some birational model.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-05-25T12:15:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "meromorphic surface maps",
      "degree growth",
      "compact kahler surfaces",
      "cohomology classes",
      "meromorphic selfmaps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8267B"
    }
  }
}