{
  "abstract": "After removing suitable thin subsets, we count rational points of bounded height on some hypersurfaces of small bidegree in $\\mathbb{P}^3\\times\\mathbb{P}^3$ and in $\\mathbb{P}^3\\times\\mathbb{P}^2$. One of the ingredients is a new estimate for the number of rational points of bounded height on diagonal quadratic surfaces which improves as the coefficients grow.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13163",
  "author_total": 2,
  "authors": [
    {
      "name": "Tim Browning"
    },
    {
      "name": "Matteo Verzobio"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f8j0ppdp6r4gx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13163",
  "fulltext_url": null,
  "id": "f8j0ppdp6r4gx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13163",
  "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.NT"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7221568141",
  "pdf_url": "https://arxiv.org/pdf/2610.13163",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f8j0ppdp6r4gx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2610.13163",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13163"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Towards linear growth for biprojective hypersurfaces of small dimension",
  "title_text": "Towards linear growth for biprojective hypersurfaces of small dimension",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/f8j0ppdp6r4gx",
  "venue": "arXiv",
  "versions": []
}