{
  "abstract": "Let $f\\colon \\mathbb{P}^n\\to \\mathbb{P}^n$ be a dominant endomorphism defined over a number field $K$. We show that there is a finite extension $L/K$ such that every proper closed subset of $\\mathbb{P}^n$ misses at least one grand $(f,L)$-orbit. Equivalently, $(\\mathbb{P}^n,f,K)$ is strongly dense orbit transversal (S-DOT): every set containing exactly one representative of each grand $(f,L)$-orbit is Zariski dense in $\\mathbb{P}^n$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05679",
  "author_total": 1,
  "authors": [
    {
      "name": "Kaiwen Lu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/65ewrfqb5vy5s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05679",
  "fulltext_url": null,
  "id": "65ewrfqb5vy5s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05679",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.DS"
    ],
    [
      "arxiv",
      "math.NT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.05679",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/65ewrfqb5vy5s.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:21:00Z",
      "native_id": "2611.05679",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05679"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Orbit Transversality for Projective Space",
  "title_text": "Orbit Transversality for Projective Space",
  "type": "preprint",
  "updated_at": "2026-11-08T21:20:29Z",
  "url": "https://research.draconitic.com/paper/65ewrfqb5vy5s",
  "venue": "arXiv",
  "versions": []
}