{
  "id": "2204.07116",
  "version": "v1",
  "published": "2022-04-14T17:11:33.000Z",
  "updated": "2022-04-14T17:11:33.000Z",
  "title": "Spherical varieties and non-ordinary families of cohomology classes",
  "authors": [
    "Rob Rockwood"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We give a construction of non-ordianry $p$-adic families of cohomology classes. We give criteria for \\'etale classes to be mapped into into Galois cohomology and show how this can be used to interpolate the Lemma-Flach Euler system in Coleman families.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-14T17:11:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cohomology classes",
      "non-ordinary families",
      "spherical varieties",
      "lemma-flach euler system",
      "coleman families"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}