{
  "id": "1804.07702",
  "version": "v1",
  "published": "2018-04-20T16:11:23.000Z",
  "updated": "2018-04-20T16:11:23.000Z",
  "title": "$E_8$ and the average size of the 3-Selmer group of the Jacobian of a pointed genus-2 curve",
  "authors": [
    "Beth Romano",
    "Jack A. Thorne"
  ],
  "comment": "Preliminary version. Comments and corrections welcome!",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove that the average size of the 3-Selmer group of a genus-2 curve with a marked Weierstrass point is 4.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-20T16:11:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "average size",
      "marked weierstrass point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}