{
  "id": "1806.01691",
  "version": "v1",
  "published": "2018-06-05T13:50:24.000Z",
  "updated": "2018-06-05T13:50:24.000Z",
  "title": "Indivisibility of Heegner points and arithmetic applications",
  "authors": [
    "Ashay Burungale",
    "Francesc Castella",
    "Chan-Ho Kim"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We discuss the application of the indivisibility of derived Heegner points \\`{a} la Wei Zhang to the main conjecture for Heegner points \\`{a} la Perrin-Riou. As a result, we upgrade the divisibility via the Heegner point Kolyvagin systems \\`{a} la Howard to the predicted equality for rank one elliptic curves of not necessarily square-free conductor.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-05T13:50:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "arithmetic applications",
      "indivisibility",
      "heegner point kolyvagin systems",
      "wei zhang",
      "derived heegner points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}