{
  "id": "1907.07084",
  "version": "v1",
  "published": "2019-07-16T15:52:52.000Z",
  "updated": "2019-07-16T15:52:52.000Z",
  "title": "2-torsion points on theta divisors",
  "authors": [
    "Giuseppe Pareschi",
    "Riccardo Salvati Manni"
  ],
  "comment": "8 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this note we prove a sharp bound for the number of 2-torsion points on a theta divisor and show that this is achieved only in the case of products of elliptic curves. This settles in the affirmative a conjecture of Marcucci and Pirola.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-16T15:52:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "theta divisor",
      "sharp bound",
      "elliptic curves",
      "conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}