{
  "id": "1007.4828",
  "version": "v2",
  "published": "2010-07-27T21:28:22.000Z",
  "updated": "2010-12-02T20:55:06.000Z",
  "title": "Moduli spaces of hyperelliptic curves with A and D singularities",
  "authors": [
    "Maksym Fedorchuk"
  ],
  "comment": "Section 7 expanded. Typos and minor errors fixed. 35 pages, 2 TikZ figures",
  "categories": [
    "math.AG"
  ],
  "abstract": "We introduce moduli spaces of quasi-admissible hyperelliptic covers with at worst A and D singularities. The stability conditions for these moduli spaces depend on two parameters describing allowable singularities. By varying these parameters, we interpolate between the stacks of stable limits of A and D singularities and the quotients of the versal deformation spaces of A and D singularities by a natural $\\mathbb{G}_m$ action.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-12-02T20:55:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperelliptic curves",
      "moduli spaces depend",
      "versal deformation spaces",
      "quasi-admissible hyperelliptic covers",
      "parameters describing allowable singularities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.4828F"
    }
  }
}