{
  "abstract": "We prove that every smooth quartic double $n$-fold, $n\\ge2$, over an algebraically closed field of characteristic zero is algebraically elliptic in Gromov's sense. In particular, every smooth quartic double solid is algebraically elliptic, which answers Question~4.28 in \\cite{Zai}. We also prove that removing any closed subset of codimension at least two preserves algebraic ellipticity for smooth quartic double spaces and smooth cubic hypersurfaces of dimension at least two.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07260",
  "author_total": 3,
  "authors": [
    {
      "name": "Alexander Dvorsky"
    },
    {
      "name": "Shulim Kaliman"
    },
    {
      "name": "M Zaidenberg"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b9rn548zyecvb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.07260",
  "fulltext_url": null,
  "id": "b9rn548zyecvb",
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  "landing_url": "https://hal.science/hal-05843371v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
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      "hal",
      "0.math"
    ],
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      "openalex",
      "2608|Algebraic Geometry and Number Theory"
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  "openalex": "W7220967061",
  "pdf_url": "https://hal.science/hal-05843371/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b9rn548zyecvb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:03Z",
      "native_id": "hal-05843371",
      "source": "hal",
      "url": "https://hal.science/hal-05843371v1"
    },
    {
      "first_seen": "2026-10-30T12:27:26Z",
      "native_id": "2610.07260",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07260"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Algebraic ellipticity of quartic double spaces",
  "title_text": "Algebraic ellipticity of quartic double spaces",
  "type": "preprint",
  "updated_at": "2026-10-31T12:20:56Z",
  "url": "https://research.draconitic.com/paper/b9rn548zyecvb",
  "venue": "HAL",
  "versions": []
}