{
  "id": "1603.01705",
  "version": "v1",
  "published": "2016-03-05T09:35:06.000Z",
  "updated": "2016-03-05T09:35:06.000Z",
  "title": "Syntomic cohomology and $p$-adic motivic cohomology",
  "authors": [
    "Veronika Ertl",
    "Wieslawa Niziol"
  ],
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We prove a mixed characteristic analog of the Beilinson-Lichtenbaum Conjecture for p-adic motivic cohomology. It gives a description, in the stable range, of p-adic motivic cohomology (defined using algebraic cycles) in terms of differential forms. This generalizes a result of Geisser from small Tate twists to all twists and uses as a critical new ingredient the comparison theorem between syntomic complexes and p-adic nearby cycles proved recently in Colmez-Niziol.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-05T09:35:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "syntomic cohomology",
      "p-adic motivic cohomology",
      "p-adic nearby cycles",
      "small tate twists",
      "syntomic complexes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160301705E"
    }
  }
}