{
  "abstract": "We compare the $p$-adic GKZ hypergeometric complex with the hypergeometric arithmetic $\\mathcal D$-module defined via six functors. Under the $p$-adic semi-nonresonance condition, the natural comparison morphism is a quasi-isomorphism. We prove concentration of the $p$-adic GKZ hypergeometric complex in degree $n$, establish overholonomicity under another non-Liouville hypothesis. When $(q-1)γ\\in\\mathbb Z^n$, we construct a Frobenius structure on its $n$-th cohomology and prove that its restriction to the nondegenerate locus is an overconvergent $F$-isocrystal of rank $n!\\operatorname{vol}(Δ)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.12918",
  "author_total": 2,
  "authors": [
    {
      "name": "Chenhan Liu"
    },
    {
      "name": "Hao Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ep1v6vkcf3k2v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.12918",
  "fulltext_url": null,
  "id": "ep1v6vkcf3k2v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.12918",
  "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.AG"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7221524004",
  "pdf_url": "https://arxiv.org/pdf/2610.12918",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ep1v6vkcf3k2v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2610.12918",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.12918"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "A Comparison Theorem for $p$-adic GKZ Hypergeometric $\\mathcal D$-Modules and Complexes",
  "title_text": "A Comparison Theorem for p-adic GKZ Hypergeometric 𝒟-Modules and Complexes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/ep1v6vkcf3k2v",
  "venue": "arXiv",
  "versions": []
}