{
  "abstract": "We study motivic integration on varieties that are birational to smooth algebraic stacks and prove a generalization of the orbifold formula for varieties with finite quotient singularities. This leads in particular to a new way of computing stringy E-functions and we also give applications to the study of klt-singularities. Along the way we study Cluckers-Loeser motivic integration on algebraic stacks, which might be of independent interest. The proof relies furthermore on ideas from Hrushovski-Kazhdan integration and Bruhat-Tits theory.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.10379",
  "author_total": 3,
  "authors": [
    {
      "name": "François Loeser"
    },
    {
      "name": "Arthur Forey"
    },
    {
      "name": "Dimitri Wyss"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/frt8wyskbh6xn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.10379",
  "fulltext_url": null,
  "id": "frt8wyskbh6xn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.10379",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7212172207",
  "pdf_url": "https://arxiv.org/pdf/2609.10379",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/frt8wyskbh6xn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:16Z",
      "native_id": "2609.10379",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.10379"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "An orbifold formula for algebraic stacks",
  "title_text": "An orbifold formula for algebraic stacks",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:16Z",
  "url": "https://research.draconitic.com/paper/frt8wyskbh6xn",
  "venue": "arXiv",
  "versions": []
}