{
  "id": "math/0612129",
  "version": "v2",
  "published": "2006-12-05T18:40:10.000Z",
  "updated": "2007-07-11T13:59:30.000Z",
  "title": "A Riemann-Roch theorem in tropical geometry",
  "authors": [
    "Andreas Gathmann",
    "Michael Kerber"
  ],
  "comment": "14 pages; minor changes to match the published version",
  "categories": [
    "math.CO",
    "math.AG"
  ],
  "abstract": "Recently, Baker and Norine have proven a Riemann-Roch theorem for finite graphs. We extend their results to metric graphs and thus establish a Riemann-Roch theorem for divisors on (abstract) tropical curves.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-07-11T13:59:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "riemann-roch theorem",
      "tropical geometry",
      "metric graphs",
      "finite graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12129G"
    }
  }
}