{
  "id": "1409.4395",
  "version": "v1",
  "published": "2014-09-15T19:44:42.000Z",
  "updated": "2014-09-15T19:44:42.000Z",
  "title": "Moduli of Tropical Plane Curves",
  "authors": [
    "Sarah Brodsky",
    "Michael Joswig",
    "Ralph Morrison",
    "Bernd Sturmfels"
  ],
  "comment": "29 pages, 23 figures",
  "categories": [
    "math.CO",
    "math.AG"
  ],
  "abstract": "We study the moduli space of metric graphs that arise from tropical plane curves. There are far fewer such graphs than tropicalizations of classical plane curves. For fixed genus $g$, our moduli space is a stacky fan whose cones are indexed by regular unimodular triangulations of Newton polygons with $g$ interior lattice points. It has dimension $2g+1$ unless $g \\leq 3$ or $g = 7$. We compute these spaces explicitly for $g \\leq 5$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-15T19:44:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14T05"
    ],
    "keywords": [
      "tropical plane curves",
      "moduli space",
      "regular unimodular triangulations",
      "interior lattice points",
      "classical plane curves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.4395B"
    }
  }
}