{
  "id": "1011.3350",
  "version": "v1",
  "published": "2010-11-15T11:54:39.000Z",
  "updated": "2010-11-15T11:54:39.000Z",
  "title": "On cohomology of Witt vectors of algebraic integers and a conjecture of Hesselholt",
  "authors": [
    "Amit Hogadi",
    "Supriya Pisolkar"
  ],
  "comment": "10 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $K$ be a complete discrete valued field of characteristic zero with residue field $k_K$ of characteristic $p > 0$. Let $L/K$ be a finite Galois extension with the Galois group $G$ and suppose that the induced extension of residue fields $k_L/k_K$ is separable. In his paper, Hesselholt conjectured that $H^1(G,W(\\sO_L))$ is zero, where $\\sO_L$ is the ring of integers of $L$ and $W(\\sO_L)$ is the Witt ring of $\\sO_L$ w.r.t. the prime $p$. He partially proved this conjecture for a large class of extensions. In this paper, we prove Hesselholt's conjecture for all Galois extensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-11-15T11:54:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11S25"
    ],
    "keywords": [
      "algebraic integers",
      "witt vectors",
      "cohomology",
      "residue field",
      "finite galois extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.3350H"
    }
  }
}