{
  "abstract": "We prove that every Deligne--Mumford superstack over $\\mathbb{Z}[1/2]$ with finite inertia admits a coarse moduli superspace. This generalizes the Keel--Mori theorem to the super setting. As part of our argument, we introduce a notion of integral morphisms in algebraic supergeometry and use it to establish an effective descent result for étale morphisms of algebraic superspaces. We also include an example of a non-Deligne--Mumford superstack with finite inertia that does not admit a coarse moduli superspace.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.25524",
  "author_total": 1,
  "authors": [
    {
      "name": "Fei Peng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2v84d4wmat3zq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25524",
  "fulltext_url": null,
  "id": "2v84d4wmat3zq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25524",
  "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"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7214086170",
  "pdf_url": "https://arxiv.org/pdf/2609.25524",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2v84d4wmat3zq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:43Z",
      "native_id": "2609.25524",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25524"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Existence of coarse moduli superspaces for Deligne--Mumford superstacks",
  "title_text": "Existence of coarse moduli superspaces for Deligne--Mumford superstacks",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/2v84d4wmat3zq",
  "venue": "arXiv",
  "versions": []
}