{
  "abstract": "Given a free resolution $F_\\bullet$ over a polynomial ring $R$ and a system of higher homotopies on it for a regular sequence $a_1,\\dots,a_c$, we can use the Eisenbud-Shamash construction to build a free resolution over $\\overline{R}=R/(a_1,\\dots,a_c)$. We provide a combinatorial formula for the new system of higher homotopies on a pruned free resolution $F_{\\bullet}^{\\mathcal{M}}$ that corresponds to a pruning of the Eisenbud-Shamash resolution.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.08764",
  "author_total": 2,
  "authors": [
    {
      "name": "Ben Betts"
    },
    {
      "name": "Janet Vassilev"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dqvy455gb8hjs.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.08764",
  "fulltext_url": null,
  "id": "dqvy455gb8hjs",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.08764",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AC"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.08764",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dqvy455gb8hjs.ris",
  "sources": [
    {
      "first_seen": "2026-11-10T06:21:07Z",
      "native_id": "2611.08764",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.08764"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AC",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Pruning free resolutions over a complete intersection",
  "title_text": "Pruning free resolutions over a complete intersection",
  "type": "preprint",
  "updated_at": "2026-11-10T06:21:07Z",
  "url": "https://research.draconitic.com/paper/dqvy455gb8hjs",
  "venue": "arXiv",
  "versions": []
}