{
  "abstract": "Let $p$ be an odd prime and $f \\geq 1$. We consider a $p$-adic locally algebraic $\\text{GL}_2(\\mathbb Q_{p^f})$-representation attached to a tuple of $f$ weights $k=(k_i)$ for $0 \\leq i \\leq f-1$ and a $p$-adic integer $a_p$ with valuation in $(0,1)$. We give conditions under which the irreducible quotients of the subquotients in a filtration on the reduction mod $p$ of the natural integral structure on this space are supercuspidal. We also check that for small $k$ and $f$ the integral structure is a lattice so that the mod $p$ reduction is nonzero.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.02654",
  "author_total": 2,
  "authors": [
    {
      "name": "Eknath Ghate"
    },
    {
      "name": "Shivansh Pandey"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fc94ayzgj1et2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.02654",
  "fulltext_url": null,
  "id": "fc94ayzgj1et2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.02654",
  "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.NT"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
    ]
  ],
  "openalex": "W7160316899",
  "pdf_url": "https://arxiv.org/pdf/2605.02654",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fc94ayzgj1et2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:19Z",
      "native_id": "2605.02654",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.02654"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Reductions of $\\mathrm{GL}_2(\\mathbb Q_{p^f})$-Banach spaces of slopes in $(0,1)$",
  "title_text": "Reductions of GL_2(ℚ_p^f)-Banach spaces of slopes in (0,1)",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:19Z",
  "url": "https://research.draconitic.com/paper/fc94ayzgj1et2",
  "venue": "arXiv",
  "versions": []
}