{
  "id": "1203.5440",
  "version": "v2",
  "published": "2012-03-24T19:21:27.000Z",
  "updated": "2015-01-10T20:41:20.000Z",
  "title": "Fast computation of isomorphisms of hyperelliptic curves and explicit Galois descent",
  "authors": [
    "Reynald Lercier",
    "Christophe Ritzenthaler",
    "Jeroen Sijsling"
  ],
  "journal": "Proceedings of the Tenth Algorithmic Number Theory Symposium, volume 1 of The Open Book Series, pages 463-486. Mathematical Sciences Publishers, 2013",
  "doi": "10.2140/obs.2013.1.463",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We show how to speed up the computation of isomorphisms of hyperelliptic curves by using covariants. We also obtain new theoretical and practical results concerning models of these curves over their field of moduli.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-24T19:21:27.000Z",
      "title": "Fast computation of isomorphisms of hyperelliptic curves and explicit descent",
      "comment": "17 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-01-10T20:41:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperelliptic curves",
      "explicit descent",
      "fast computation",
      "isomorphisms"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.5440L"
    }
  }
}