{
  "id": "1210.3997",
  "version": "v1",
  "published": "2012-10-15T12:21:16.000Z",
  "updated": "2012-10-15T12:21:16.000Z",
  "title": "Remark on equicharacteristic analogue of Hesselholt's conjecture on cohomology of Witt vectors",
  "authors": [
    "Amit Hogadi",
    "Supriya Pisolkar"
  ],
  "comment": "To appear in Acta Airthmetica",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $L/K$ be a finite Galois extension of complete discrete valued fields of characteristic $p$. Assume that the induced residue field extension $k_L/k_K$ is separable. For an integer $n\\geq 0$, let $W_n(\\sO_L)$ denote the ring of Witt vectors of length $n$ with coefficients in $\\sO_L$. We show that the proabelian group ${H^1(G,W_n(\\sO_L))}_{n\\in \\N}$ is zero. This is an equicharacteristic analogue of Hesselholt's conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-15T12:21:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11S25"
    ],
    "keywords": [
      "witt vectors",
      "hesselholts conjecture",
      "equicharacteristic analogue",
      "cohomology",
      "complete discrete valued fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.3997H"
    }
  }
}