{
  "abstract": "We construct irrational irreducible components of the Hilbert scheme of points of affine space A n $\\mathbb {A}^n$ double struck upper A Superscript n for n ≥ 12 $n \\geq 12$ n greater than or equals 12 . We start with irrational components of the Hilbert scheme of curves in CP 3 $\\mathbb {CP}^3$ double struck upper C upper P cubed and use methods developed by Jelisiejew to relate these to irreducible components of the Hilbert schemes of points of A n $\\mathbb {A}^n$ double struck upper A Superscript n . The result solves Problem XX of the Hilbert scheme of points problem list [J24].",
  "abstract_shown": true,
  "affiliations": [
    "Humboldt-Universität zu Berlin",
    "ETH Zürich",
    "Politecnico di Milano"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
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        0
      ],
      "name": "Gavril Farkas",
      "orcid": "0000-0001-6762-0413"
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    {
      "affs": [
        1
      ],
      "name": "Rahul Pandharipande",
      "orcid": "0009-0003-7258-5570"
    },
    {
      "affs": [
        2
      ],
      "name": "Alessio Sammartano",
      "orcid": "0000-0002-0377-1375"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0p2qek9ba9s8q.bib",
  "cited_by": 0,
  "doi": "10.1017/fms.2026.10285",
  "fulltext_url": null,
  "id": "0p2qek9ba9s8q",
  "issns": [
    "2050-5094"
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  "landing_url": "https://www.cambridge.org/core/product/identifier/S2050509426102850/type/journal_article",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
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  "openalex": "W4398192543",
  "pdf_url": "https://www.cambridge.org/core/services/aop-cambridge-core/content/view/1B54D5032C35D93D84881B828C2FE6A4/S2050509426102850a.pdf/div-class-title-irrational-components-of-the-hilbert-scheme-of-points-div.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": "Cambridge University Press (CUP)",
  "ris": "https://research.draconitic.com/paper/0p2qek9ba9s8q.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:20Z",
      "native_id": "10.1017/fms.2026.10285",
      "source": "crossref",
      "url": "https://www.cambridge.org/core/product/identifier/S2050509426102850/type/journal_article"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Algebraic Geometry and Number Theory",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Irrational components of the Hilbert scheme of points",
  "title_text": "Irrational components of the Hilbert scheme of points",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:20Z",
  "url": "https://research.draconitic.com/paper/0p2qek9ba9s8q",
  "venue": "Forum of Mathematics, Sigma",
  "versions": []
}