{
  "abstract": "For a quasi-projective smooth geometrically integral variety $X$ over a number field, we prove that the Brauer-Manin obstruction for its symmetric powers coincides with the obstruction coming from $X$. As a consequence, Brauer-Manin obstruction for the symmetric powers cannot provide new cohomological obstruction to weak approximation of zero-cycles for $X$. The key intermediate ingredients are a Dold-Thom type result for Brauer groups and a precise descent formula for adelic points.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.23430",
  "author_total": 2,
  "authors": [
    {
      "name": "Yang Cao"
    },
    {
      "name": "Lin Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/57xyf4z22snrr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.23430",
  "fulltext_url": null,
  "id": "57xyf4z22snrr",
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  "landing_url": "https://arxiv.org/abs/2610.23430",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
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  ],
  "openalex": "W7222917138",
  "pdf_url": "https://arxiv.org/pdf/2610.23430",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/57xyf4z22snrr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:37Z",
      "native_id": "2610.23430",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.23430"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Brauer-Manin obstruction for symmetric powers",
  "title_text": "Brauer-Manin obstruction for symmetric powers",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/57xyf4z22snrr",
  "venue": "arXiv",
  "versions": []
}