{
  "id": "math/0701669",
  "version": "v2",
  "published": "2007-01-24T07:11:34.000Z",
  "updated": "2013-07-04T19:58:14.000Z",
  "title": "K3 surfaces associated with curves of genus two",
  "authors": [
    "Abhinav Kumar"
  ],
  "comment": "21 pages",
  "journal": "Int. Math. Res. Not. (IMRN) 2008, no. 6: Art. ID rnm165, 26 pp",
  "doi": "10.1093/imrn/rnm165",
  "categories": [
    "math.AG"
  ],
  "abstract": "It is known (work of Galluzzi, Lombardo, Dolgachev and Naruki) that there is a unique K3 surface X which corresponds to a genus 2 curve C such that X has a Shioda-Inose structure with quotient birational to the Kummer surface of the Jacobian of C. In this paper we give an explicit realization of X as an elliptic surface over P^1 with specified singular fibers of type II^* and III^*. We describe how the Weierstrass coefficients are related to the Igusa-Clebsch invariants of C.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-07-04T19:58:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J28",
      "14J27",
      "14H45"
    ],
    "keywords": [
      "k3 surfaces",
      "unique k3 surface",
      "igusa-clebsch invariants",
      "quotient birational",
      "kummer surface"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1669K"
    }
  }
}