{
  "abstract": "We show that the abelian category of coherent toric sheaves is generated, as a Serre subcategory, by pushforwards of rank one reflexive sheaves supported on invariant subvarieties. As an application, we extend previous results by Klyachko on cohomology of toric vector bundles to coherent toric sheaves.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.04603",
  "author_total": 1,
  "authors": [
    {
      "name": "Carl Tipler"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6sg0xdszyqcmn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.04603",
  "fulltext_url": null,
  "id": "6sg0xdszyqcmn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.04603",
  "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.AG"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7220682941",
  "pdf_url": "https://arxiv.org/pdf/2610.04603",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6sg0xdszyqcmn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.04603",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.04603"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Decomposition of toric sheaves",
  "title_text": "Decomposition of toric sheaves",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/6sg0xdszyqcmn",
  "venue": "arXiv",
  "versions": []
}