{
  "id": "1311.0175",
  "version": "v2",
  "published": "2013-11-01T13:13:21.000Z",
  "updated": "2014-11-24T18:53:17.000Z",
  "title": "Euler systems for modular forms over imaginary quadratic fields",
  "authors": [
    "Antonio Lei",
    "David Loeffler",
    "Sarah Livia Zerbes"
  ],
  "comment": "Revised version, to appear in Compositio Math",
  "categories": [
    "math.NT"
  ],
  "abstract": "We construct an Euler system attached to a weight 2 modular form twisted by a Groessencharacter of an imaginary quadratic field, and apply this to bounding Selmer groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-01T13:13:21.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-11-24T18:53:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F85",
      "11F67",
      "11G40",
      "14G35"
    ],
    "keywords": [
      "imaginary quadratic field",
      "bounding selmer groups",
      "euler system",
      "groessencharacter",
      "modular form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.0175L"
    }
  }
}