{
  "id": "1512.03678",
  "version": "v1",
  "published": "2015-12-11T15:44:14.000Z",
  "updated": "2015-12-11T15:44:14.000Z",
  "title": "Iwasawa theory for the symmetric square of a modular form",
  "authors": [
    "David Loeffler",
    "Sarah Livia Zerbes"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We construct a compatible family of global cohomology classes (an Euler system) for the symmetric square of a modular form, and apply this to bounding Selmer groups of the symmetric square Galois representation and its twists.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-11T15:44:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F67",
      "11F80",
      "11G18"
    ],
    "keywords": [
      "modular form",
      "iwasawa theory",
      "symmetric square galois representation",
      "global cohomology classes",
      "bounding selmer groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}