{
  "id": "1708.05998",
  "version": "v1",
  "published": "2017-08-20T18:11:21.000Z",
  "updated": "2017-08-20T18:11:21.000Z",
  "title": "The Neron-Tate pairing and elliptic K3 surfaces",
  "authors": [
    "Arthur Baragar"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper, we demonstrate a connection between the group structure and Neron-Tate pairing on elliptic curves in an elliptic fibration with section on a K3 surface, and the structure of the ample cone for the K3 surface. Part of the result can be thought of as a case of the specialization theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-20T18:11:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J28",
      "14J27",
      "14J50"
    ],
    "keywords": [
      "elliptic k3 surfaces",
      "neron-tate pairing",
      "elliptic fibration",
      "specialization theorem",
      "group structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}