{
  "id": "1605.03168",
  "version": "v1",
  "published": "2016-05-10T19:48:23.000Z",
  "updated": "2016-05-10T19:48:23.000Z",
  "title": "Kolyvagin systems and Iwasawa theory of generalized Heegner cycles",
  "authors": [
    "Matteo Longo",
    "Stefano Vigni"
  ],
  "comment": "20 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Iwasawa theory of Heegner points on abelian varieties of GL_2 type has been studied by, among others, Mazur, Perrin-Riou, Bertolini and Howard. The purpose of this paper is to describe extensions of some of their results in which abelian varieties are replaced by the Galois cohomology of Deligne's p-adic representation attached to a modular form of even weight >2. In this setting, the role of Heegner points is played by higher-dimensional Heegner-type cycles that have been recently defined by Bertolini, Darmon and Prasanna. Our results should be compared with those obtained, via deformation-theoretic techniques, by Fouquet in the context of Hida families of modular forms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-10T19:48:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R23",
      "11F11"
    ],
    "keywords": [
      "generalized heegner cycles",
      "iwasawa theory",
      "kolyvagin systems",
      "heegner points",
      "abelian varieties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}