{
  "abstract": "In a previous article, we showed that local projectivity is a sufficient condition for the existence of a bialgebroid structure on the ring of differential operators on an affine variety. In this note, we show using elementary methods that the ring of differential operators on a nodal curve is neither locally projective nor does it admit a bialgebroid structure.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.18568",
  "author_total": 1,
  "authors": [
    {
      "name": "Myriam Mahaman"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/079dbq4ngp77f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.18568",
  "fulltext_url": null,
  "id": "079dbq4ngp77f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.18568",
  "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.QA"
    ],
    [
      "arxiv",
      "math.RA"
    ],
    [
      "openalex",
      "2602|Advanced Topics in Algebra"
    ]
  ],
  "openalex": "W7161729004",
  "pdf_url": "https://arxiv.org/pdf/2605.18568",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/079dbq4ngp77f.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:43Z",
      "native_id": "2605.18568",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.18568"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AC",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "The Ring of Differential Operators on a Nodal Curve is not a Bialgebroid",
  "title_text": "The Ring of Differential Operators on a Nodal Curve is not a Bialgebroid",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/079dbq4ngp77f",
  "venue": "arXiv",
  "versions": []
}