{
  "id": "1503.02485",
  "version": "v1",
  "published": "2015-03-09T14:25:33.000Z",
  "updated": "2015-03-09T14:25:33.000Z",
  "title": "On the Selmer group attached to a modular form and an algebraic Hecke character",
  "authors": [
    "Yara Elias"
  ],
  "comment": "23 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We edify an Euler system of generalized Heegner cycles to bound the Selmer group associated to a modular form and an algebraic Hecke character. The main argument is based on Kolyvagin's machinery explained by Gross while the key object of the Euler system, the generalized Heegner cycles, were first considered by Bertolini, Darmon and Prasanna.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-09T14:25:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "algebraic hecke character",
      "selmer group",
      "modular form",
      "generalized heegner cycles",
      "euler system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150302485E"
    }
  }
}