{
  "id": "1602.04944",
  "version": "v1",
  "published": "2016-02-16T08:50:39.000Z",
  "updated": "2016-02-16T08:50:39.000Z",
  "title": "On a multiplicative version of Mumford's theorem",
  "authors": [
    "Robert Laterveer"
  ],
  "comment": "7 pages, to appear in Abh. Math. Semin. Univ. Hamburg. Comments still very welcome !",
  "doi": "10.1007/s12188-016-0121-x",
  "categories": [
    "math.AG"
  ],
  "abstract": "A theorem of Esnault, Srinivas and Viehweg asserts that if the Chow group of 0-cycles of a smooth complete complex variety decomposes, then the top-degree coherent cohomology group decomposes similarly. In this note, we prove a similar statement for Chow groups of arbitrary codimension, provided the variety satisfies the Lefschetz standard conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-16T08:50:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C15",
      "14C25",
      "14C30"
    ],
    "keywords": [
      "mumfords theorem",
      "multiplicative version",
      "top-degree coherent cohomology group decomposes",
      "smooth complete complex variety decomposes",
      "chow group"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160204944L"
    }
  }
}