{
  "abstract": "We construct a stacky resolution of singularities for certain noncommutative spaces which can be viewed as 'finite noncommutative extensions' of schemes. More precisely, we show that any order over a reduced separated finite type scheme over a field of characteristic zero can be resolved by an Azumaya algebra over a smooth Deligne--Mumford stack by a sequence of stacky blow-ups.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.05137",
  "author_total": 1,
  "authors": [
    {
      "name": "Timothy De Deyn"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a6keefc8n3885.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.05137",
  "fulltext_url": null,
  "id": "a6keefc8n3885",
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  "landing_url": "https://arxiv.org/abs/2606.05137",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
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      "arxiv",
      "math.RA"
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      "arxiv",
      "math.RT"
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      "openalex",
      "2608|Algebraic Geometry and Number Theory"
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  "pdf_url": "https://arxiv.org/pdf/2606.05137",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a6keefc8n3885.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:20Z",
      "native_id": "2606.05137",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.05137"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "A stacky resolution of singularities for orders by Azumaya algebras",
  "title_text": "A stacky resolution of singularities for orders by Azumaya algebras",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:51Z",
  "url": "https://research.draconitic.com/paper/a6keefc8n3885",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1016/j.jalgebra.2026.10.002",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}