{
  "abstract": "We introduce the class of star cluster algebras and classify their singularities. Then we focus on the combinatorial structure of the desingularization by determining the number of irreducible centers that are blown up.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.01501",
  "author_total": 2,
  "authors": [
    {
      "name": "Eleonore Faber"
    },
    {
      "name": "Bernd Schober"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/59y4anynp3m0k.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.01501",
  "fulltext_url": null,
  "id": "59y4anynp3m0k",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.01501",
  "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"
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      "arxiv",
      "math.CO"
    ],
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      "openalex",
      "2608|Algebraic Geometry and Number Theory"
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  ],
  "openalex": "W7206186038",
  "pdf_url": "https://arxiv.org/pdf/2609.01501",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/59y4anynp3m0k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:04Z",
      "native_id": "2609.01501",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.01501"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Singularities of star cluster algebras",
  "title_text": "Singularities of star cluster algebras",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:04Z",
  "url": "https://research.draconitic.com/paper/59y4anynp3m0k",
  "venue": "arXiv",
  "versions": []
}