{
  "id": "1411.1954",
  "version": "v1",
  "published": "2014-11-07T15:42:14.000Z",
  "updated": "2014-11-07T15:42:14.000Z",
  "title": "A construction of generalized elliptic curves from twisted curves",
  "authors": [
    "Andrew Niles"
  ],
  "comment": "10 pages. arXiv admin note: text overlap with arXiv:1207.7280",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We introduce a procedure for constructing a generalized elliptic curve from a genus-one twisted curve, and we use this procedure to define an explicit, modular isomorphism between two compactifications of moduli stacks of elliptic curves with level structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-07T15:42:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H30",
      "14K30",
      "14H40",
      "14D23",
      "14H52"
    ],
    "keywords": [
      "generalized elliptic curve",
      "construction",
      "genus-one twisted curve",
      "modular isomorphism",
      "moduli stacks"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.1954N"
    }
  }
}