{
  "id": "1801.04098",
  "version": "v1",
  "published": "2018-01-12T09:20:34.000Z",
  "updated": "2018-01-12T09:20:34.000Z",
  "title": "Combinatorics of compactified universal Jacobians",
  "authors": [
    "Lucia Caporaso",
    "Karl Christ"
  ],
  "comment": "42 pages",
  "categories": [
    "math.AG",
    "math.CO"
  ],
  "abstract": "We use orientations on stable graphs to express the combinatorial structure of the compactified universal Jacobians in degrees g-1 and g over the moduli space of stable curves, \\Mgb, and construct for them graded stratifications compatible with the one of \\Mgb. In particular, for a stable curve we exhibit graded stratifications of the compactified Jacobians in terms of totally cyclic, respectively rooted, orientations on subgraphs of its dual graph.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-12T09:20:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H10",
      "14H40",
      "05Cxx"
    ],
    "keywords": [
      "compactified universal jacobians",
      "combinatorics",
      "stable curve",
      "graded stratifications",
      "combinatorial structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}