{
  "abstract": "We use finite-field calculations and mixed-characteristic deformation to construct nef divisors on very general complex blow-ups of the plane. A lifting and smoothing criterion converts a reducible nodal divisor over $\\mathbb{F}_{127}$ into a smooth genus-$10$ curve of class $117H-37(E_1+\\cdots+E_{10})$, retaining control of its first-order obstruction map. Its normal bundle in a suitable deformation is semistable, so Petrakiev's multiplicity estimate yields the nef class $27379H-8658(E_1+\\cdots+E_{10})$ at ten very general points. Their multipoint Seshadri constant is therefore at least $8658/27379$, improving Petrakiev's bound $228/721$. The geometric input is an existence criterion in characteristic zero verified by computations in positive characteristic.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.06225",
  "author_total": 2,
  "authors": [
    {
      "name": "Piotr Pokora"
    },
    {
      "name": "Tomasz Szemberg"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fyrebtzjryqwc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.06225",
  "fulltext_url": null,
  "id": "fyrebtzjryqwc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.06225",
  "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": "W7220710371",
  "pdf_url": "https://arxiv.org/pdf/2610.06225",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fyrebtzjryqwc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.06225",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.06225"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Lifting negative curves from finite fields and Seshadri constants at ten points",
  "title_text": "Lifting negative curves from finite fields and Seshadri constants at ten points",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/fyrebtzjryqwc",
  "venue": "arXiv",
  "versions": []
}