{
  "id": "math/0602355",
  "version": "v1",
  "published": "2006-02-16T15:54:48.000Z",
  "updated": "2006-02-16T15:54:48.000Z",
  "title": "On the Brauer-Manin obstruction for zero-cycles on curves",
  "authors": [
    "Dennis Eriksson",
    "Victor Scharaschkin"
  ],
  "comment": "12 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We wish to give a short elementary proof of S. Saito's result that the Brauer-Manin obstruction for zero-cycles of degree 1 is the only one for curves, supposing the finiteness of the Tate-Shafarevich-group $\\sha^1(A)$ of the Jacobian variety. In fact we show that we only need a conjecturally finite part of the Brauer-group for this obstruction to be the only one. We also comment on the situation in higher dimensions",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-02-16T15:54:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G30",
      "16K50",
      "14L10"
    ],
    "keywords": [
      "brauer-manin obstruction",
      "zero-cycles",
      "short elementary proof",
      "conjecturally finite part",
      "jacobian variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......2355E"
    }
  }
}