{
  "abstract": "We introduce generalized Iskovskikh surfaces and study their relation to quasi-étale double covers. As an application, we prove that a del Pezzo surface of degree $2$ over an infinite field of characteristic different from $2$ is unirational if it has a rational generalized Eckardt point. This resolves a previously open case not covered by Manin's construction.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.39284",
  "author_total": 1,
  "authors": [
    {
      "name": "Runxuan Gao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8nkcfep1mq0cv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.39284",
  "fulltext_url": null,
  "id": "8nkcfep1mq0cv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.39284",
  "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.AG"
    ]
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  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.39284",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8nkcfep1mq0cv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.39284",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.39284"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Generalized Iskovskikh surfaces and unirationality of del Pezzo surfaces of degree $2$",
  "title_text": "Generalized Iskovskikh surfaces and unirationality of del Pezzo surfaces of degree $2$",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/8nkcfep1mq0cv",
  "venue": "arXiv",
  "versions": []
}