{
  "abstract": "Let $C$ be a bielliptic curve over an algebraically closed nonarchimedean field of odd characteristic or characteristic zero, and let $f \\colon \\widetilde{C} \\to C$ be an étale double cover. We prove that, if $f$ specializes to a certain double cover of a loop of loops, then every Prym divisor on the loop of loops lifts to a Prym divisor of the same rank on $\\widetilde{C}$. As consequences, we compute the dimension of the Prym-Brill-Noether variety $V^r (C,f)$, show that it is reduced and irreducible when the dimension is positive, and compute its cohomology class.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18324",
  "author_total": 8,
  "authors": [
    {
      "name": "Phew Aung"
    },
    {
      "name": "Eric Burkholder"
    },
    {
      "name": "Joan Dalton"
    },
    {
      "name": "David Jensen"
    },
    {
      "name": "Jacob Letamendi"
    },
    {
      "name": "Brianna Nguyen"
    },
    {
      "name": "Andrew Radicker"
    },
    {
      "name": "Doel Rivera Laboy"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/54v1ds9rygbcf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18324",
  "fulltext_url": null,
  "id": "54v1ds9rygbcf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.18324",
  "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": "W7221784278",
  "pdf_url": "https://arxiv.org/pdf/2610.18324",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/54v1ds9rygbcf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:20Z",
      "native_id": "2610.18324",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18324"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Lifting Prym Divisors on a Bielliptic Loop of Loops",
  "title_text": "Lifting Prym Divisors on a Bielliptic Loop of Loops",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:20Z",
  "url": "https://research.draconitic.com/paper/54v1ds9rygbcf",
  "venue": "arXiv",
  "versions": []
}