{
  "id": "1407.3530",
  "version": "v1",
  "published": "2014-07-14T02:51:24.000Z",
  "updated": "2014-07-14T02:51:24.000Z",
  "title": "The Moduli of Klein Covers of Curves",
  "authors": [
    "Charles Siegel"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study the moduli space ${V}_4\\mathcal{M}_{g}$ of Klein four covers of genus $g$ curves and its natural compactification. This requires the construction of a related space which has a choice of basis for the Klein four group. This space has the interesting property that the two components intersect along a component of the boundary. Further, we carry out a detailed analysis of the boundary, determining components, degrees of the components over their images in $\\overline{\\mathcal{M}_g}$, and computing the canonical divisor of $\\overline{{V}_4\\mathcal{M}_{g}}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-14T02:51:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H10",
      "14H30"
    ],
    "keywords": [
      "klein covers",
      "natural compactification",
      "components intersect",
      "moduli space",
      "construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.3530S"
    }
  }
}