{
  "abstract": "Butler's conjectures predict that, on a general smooth curve $C$ of genus $g\\ge3$, a general coherent system $[\\mathcal{O}_C\\otimes V\\xrightarrowφE]$ with semistable underlying bundle $E$ and $\\dim V>\\operatorname{rk}(E)$ has surjective evaluation map $φ$ and stable kernel. In this paper, we prove Butler's conjectures for $g\\ge8$ in the two cases in which the Brill-Noether geometry of a general curve is known, namely rank one and the range $μ(E)>2g-2$. By deformation and openness, it suffices to establish the result on a single Brill-Noether-Petri general curve. We do so for curves on K3 surfaces of Picard rank one, using the wall-crossing theory of coherent systems developed by the first two authors.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.08333",
  "author_total": 3,
  "authors": [
    {
      "name": "Soheyla Feyzbakhsh"
    },
    {
      "name": "Aliaksandra Novik"
    },
    {
      "name": "Angela Ortega"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/68dvymqhpjc3c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.08333",
  "fulltext_url": null,
  "id": "68dvymqhpjc3c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.08333",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.08333",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/68dvymqhpjc3c.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:34Z",
      "native_id": "2611.08333",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.08333"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Butler's conjecture for K3 curves",
  "title_text": "Butler's conjecture for K3 curves",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:49Z",
  "url": "https://research.draconitic.com/paper/68dvymqhpjc3c",
  "venue": "arXiv",
  "versions": []
}