{
  "abstract": "We study the geometry of Hurwitz--Brill--Noether spaces with vanishing conditions at a totally ramified point. Degeneration to a curve with an elliptic tail simplifies the combinatorics of Larson, Larson--Larson--Vogt, and Aggarwal, giving inductive proofs of Aggarwal's results in the one-point setting, and yields an efficient recursion for the algebraic Euler characteristics. Finally, when the expected dimension is negative, we give a numerical criterion ensuring the universal Hurwitz--Brill--Noether locus admits a component of expected relative dimension, generically finite over its image in the Hurwitz space, analogous to the existing results of Pflueger and Teixidor i Bigas for classical Brill--Noether loci.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38023",
  "author_total": 2,
  "authors": [
    {
      "name": "Andrei Bud"
    },
    {
      "name": "Richard Haburcak"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fv30fr7tprwte.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38023",
  "fulltext_url": null,
  "id": "fv30fr7tprwte",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38023",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2610.38023",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fv30fr7tprwte.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.38023",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38023"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Pointed Hurwitz--Brill--Noether theory",
  "title_text": "Pointed Hurwitz--Brill--Noether theory",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/fv30fr7tprwte",
  "venue": "arXiv",
  "versions": []
}