{
  "id": "1609.08798",
  "version": "v1",
  "published": "2016-09-28T07:07:36.000Z",
  "updated": "2016-09-28T07:07:36.000Z",
  "title": "On a multiplicative version of Bloch's conjecture",
  "authors": [
    "Robert Laterveer"
  ],
  "comment": "To appear (in slightly different form) in Beitrage zur Algebra und Geometrie, 8 pages, comments welcome. arXiv admin note: text overlap with arXiv:1602.04944",
  "doi": "10.1007/s13366-016-0296-4",
  "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 that (a weak version of) the converse holds for varieties of dimension at most 5 that have finite-dimensional motive and satisfy the Lefschetz standard conjecture. The proof is based on Vial's construction of a refined Chow-Kunneth decomposition for these varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-28T07:07:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C15",
      "14C25",
      "14C30"
    ],
    "keywords": [
      "blochs conjecture",
      "multiplicative version",
      "smooth complete complex variety decomposes",
      "top-degree coherent cohomology group decomposes"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}