{
  "id": "1401.0791",
  "version": "v2",
  "published": "2014-01-04T08:27:29.000Z",
  "updated": "2014-10-07T18:17:44.000Z",
  "title": "The Brauer group and indecomposable (2,1)-cycles",
  "authors": [
    "Bruno Kahn"
  ],
  "comment": "Added a reference for Corollary 2",
  "categories": [
    "math.AG"
  ],
  "abstract": "This version gives more details on the weight argument used in Section 1; the new Lemma 2 fills an implicit gap in the initial proof of Proposition 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-04T08:27:29.000Z",
      "abstract": "We show that the torsion in the group of indecomposable (2,1)-cycles on a smooth projective variety over an algebraically closed field is isomorphic to a twist of its Brauer group, away from the characteristic. In particular, this group is infinite as soon as b_2-\\rho>0. We derive a new insight into Roitman's theorem on torsion 0-cycles over a surface.",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-10-07T18:17:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "brauer group",
      "indecomposable",
      "smooth projective variety",
      "roitmans theorem",
      "algebraically closed field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.0791K"
    }
  }
}