{
  "abstract": "This article gives explicit descriptions for differential powers of monomial ideals in certain (possibly non-normal) affine semigroup rings. We use these descriptions to show that the topologies defined by the ordinary, symbolic, and differential powers of any monomial ideal are all linearly equivalent. We then prove the existence of differential signature in our settings, relating it to the volume of some convex polytope. Finally, we apply our results to pinched Veronese rings.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.30057",
  "author_total": 2,
  "authors": [
    {
      "name": "Soumyadeep Misra"
    },
    {
      "name": "Christopher Wong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d9edkay6vsa2z.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.30057",
  "fulltext_url": null,
  "id": "d9edkay6vsa2z",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.30057",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AC"
    ],
    [
      "openalex",
      "2602|Commutative Algebra and Its Applications"
    ]
  ],
  "openalex": "W7223199899",
  "pdf_url": "https://arxiv.org/pdf/2610.30057",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d9edkay6vsa2z.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:22Z",
      "native_id": "2610.30057",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.30057"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AC",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Differential powers of monomial ideals in affine semigroup rings",
  "title_text": "Differential powers of monomial ideals in affine semigroup rings",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/d9edkay6vsa2z",
  "venue": "arXiv",
  "versions": []
}