{
  "id": "math/0601399",
  "version": "v1",
  "published": "2006-01-17T02:07:19.000Z",
  "updated": "2006-01-17T02:07:19.000Z",
  "title": "Computational Aspects of Hyperelliptic Curves",
  "authors": [
    "Tanush Shaska"
  ],
  "journal": "Computer mathematics, 248--257, Lecture Notes Ser. Comput., 10, World Sci. Publishing, River Edge, NJ, 2003",
  "categories": [
    "math.AG"
  ],
  "abstract": "We introduce a new approach of computing the automorphism group and the field of moduli of points $\\p=[C]$ in the moduli space of hyperelliptic curves $\\H_g$. Further, we show that for every moduli point $\\p \\in \\H_g(L)$ such that the reduced automorphism group of $\\p$ has at least two involutions, there exists a representative $C$ of the isomorphism class $\\p$ which is defined over $L$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-01-17T02:07:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperelliptic curves",
      "computational aspects",
      "isomorphism class",
      "reduced automorphism group",
      "moduli space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......1399S"
    }
  }
}