{
  "abstract": "The classical Gaschütz Lemma states that for a surjective morphism $G\\to H$ of finite groups, generators $h_1,\\ldots,h_d$ of $H$ can be lifted to generators $g_1,\\ldots,g_d$ of $G$, provided that $G$ can be generated by $d$ elements. We prove an analog of this statement for linear algebraic groups. This has applications to the algebraic-geometric theory of linear differential equations: We show that every regular singular differential embedding problem over the rational function field has a regular singular solution. We also establish a purely algebraic variant of the Riemann-Hilbert correspondence on the punctured projective line that works over any countable algebraically closed field of characteristic zero.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38919",
  "author_total": 2,
  "authors": [
    {
      "name": "Jason Bell"
    },
    {
      "name": "Michael Wibmer"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1rn1jjbghr5j1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38919",
  "fulltext_url": null,
  "id": "1rn1jjbghr5j1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38919",
  "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.AC"
    ],
    [
      "arxiv",
      "math.AG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.38919",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1rn1jjbghr5j1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.38919",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38919"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AC",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "A Gaschütz Lemma for linear algebraic groups with applications to the Riemann-Hilbert correspondence",
  "title_text": "A Gaschütz Lemma for linear algebraic groups with applications to the Riemann-Hilbert correspondence",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/1rn1jjbghr5j1",
  "venue": "arXiv",
  "versions": []
}