{
  "abstract": "We study the complete intersection property of projective closures of affine monomial curves. For monomial curves in the four-dimensional affine space, we give a complete characterization of when the defining ideals of their projective closures are complete intersections. We also investigate when the projective closures are arithmetically Cohen--Macaulay.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.15366",
  "author_total": 1,
  "authors": [
    {
      "name": "Anargyros Katsabekis"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1wjmgq7x6sx97.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.15366",
  "fulltext_url": null,
  "id": "1wjmgq7x6sx97",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.15366",
  "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",
      "2602|Commutative Algebra and Its Applications"
    ]
  ],
  "openalex": "W7169794111",
  "pdf_url": "https://arxiv.org/pdf/2607.15366",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1wjmgq7x6sx97.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2607.15366",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.15366"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AC",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On complete intersection projective closures of monomial curves",
  "title_text": "On complete intersection projective closures of monomial curves",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/1wjmgq7x6sx97",
  "venue": "arXiv",
  "versions": []
}