{
  "abstract": "We construct uniform analytic models of quasi-unipotent differential modules over Robba rings. For modules of rank at most $r$ and highest ramification break at most $b$, the inner radius of the model annulus depends only on $r,b$ and the residue characteristic $p$. At each radius, the model admits a basis, possibly depending on the radius, in which the connection matrix is bounded by a constant depending only on $r,b,p$. Both bounds are independent of the coefficient field, and these analytic models require no coefficient extension. A prescribed absolute Frobenius structure extends to such a bounded model with the same radius and connection bound. After a finite coefficient extension, we also realize quasi-constant modules, which carry the finite local monodromy, as differential direct summands of sums of pushforwards of rank-one modules, with uniformly bounded cover degrees and highest breaks of the inducing modules.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.36130",
  "author_total": 1,
  "authors": [
    {
      "name": "Poornima Belvotagi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bp275hgn6zf9d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.36130",
  "fulltext_url": null,
  "id": "bp275hgn6zf9d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.36130",
  "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"
    ],
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7224103072",
  "pdf_url": "https://arxiv.org/pdf/2610.36130",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bp275hgn6zf9d.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.36130",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.36130"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Uniform local models of quasi-unipotent $p$-adic differential equations",
  "title_text": "Uniform local models of quasi-unipotent p-adic differential equations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/bp275hgn6zf9d",
  "venue": "arXiv",
  "versions": []
}