{
  "abstract": "Let \\(X\\) be a rationally smooth complex affine variety with a torus action and an attractive fixed point \\(x\\). Suppose that \\(X\\setminus\\{x\\}\\) is \\(p\\)-smooth and that its integral equivariant cohomology has no \\(p\\)-torsion. We prove that the order of its total \\(p\\)-primary cohomology torsion is the \\(p\\)-part of the reduced numerator of the equivariant multiplicity at \\(x\\). In particular, this resolves the torsion-order conjecture of Juteau--Williamson and its local version for normal slices in Schubert varieties, using the equivariant torsion-freeness result of Fiebig--Williamson.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.35600",
  "author_total": 3,
  "authors": [
    {
      "name": "Tao Gui"
    },
    {
      "name": "Peter L. Guo"
    },
    {
      "name": "Zhuowei Lin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0a0m8w705nan5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.35600",
  "fulltext_url": null,
  "id": "0a0m8w705nan5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.35600",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7214759621",
  "pdf_url": "https://arxiv.org/pdf/2609.35600",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0a0m8w705nan5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.35600",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.35600"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Equivariant multiplicities and torsion at attractive fixed points",
  "title_text": "Equivariant multiplicities and torsion at attractive fixed points",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/0a0m8w705nan5",
  "venue": "arXiv",
  "versions": []
}