{
  "abstract": "We prove the dynamical Manin–Mumford conjecture for regular polynomial maps of \\mathbb{A}^{2} and irreducible curves avoiding superattracting orbits at infinity, over any field of characteristic zero.",
  "abstract_shown": true,
  "affiliations": [
    "Sorbonne Université et Université Paris-Cité, France",
    "CNRS -Centre de Mathématiques Laurent Schwartz, École Polytechnique, 91128 Palaiseau Cedex, France",
    "Sorbonne Université, Laboratoire de probabilités, statistique et modélisation, UMR 8001, 4 place Jussieu, 75005 Paris, France",
    "Université de Paris and Sorbonne Université, CNRS, Institut de Mathématiques de Jussieu-Paris Rive Gauche, F-75006 Paris, France",
    "École Polytechnique, Palaiseau, France",
    "Université Paris-Cité et Sorbonne Université, France"
  ],
  "article_type": null,
  "arxiv": "2312.14817",
  "author_total": 3,
  "authors": [
    {
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        0,
        1,
        2,
        3
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      "name": "Romain Dujardin",
      "orcid": "0000-0003-3798-0316"
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    {
      "affs": [
        4,
        1,
        2,
        3
      ],
      "name": "Charles Favre",
      "orcid": "0000-0002-4849-0497"
    },
    {
      "affs": [
        5,
        1,
        2,
        3
      ],
      "name": "Matteo Ruggiero",
      "orcid": "0000-0003-3752-0977"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1yj75j6nzx8mb.bib",
  "cited_by": 10,
  "doi": "10.4171/jems/1807",
  "fulltext_url": null,
  "id": "1yj75j6nzx8mb",
  "issns": [
    "1435-9855",
    "1435-9863"
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  "landing_url": "https://hal.science/hal-05762075v1",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
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      "hal",
      "0.math"
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      "openalex",
      "2608|Algebraic Geometry and Number Theory"
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  "openalex": "W4390215307",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-07-14",
  "publisher": "European Mathematical Society",
  "ris": "https://research.draconitic.com/paper/1yj75j6nzx8mb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:40Z",
      "native_id": "hal-05762075",
      "source": "hal",
      "url": "https://hal.science/hal-05762075v1"
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    {
      "first_seen": "2026-11-07T13:20:42Z",
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      "url": "https://doi.org/10.4171/jems/1807"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Algebraic Geometry and Number Theory",
      "subfield": "geometry-topology"
    }
  ],
  "title": "On the dynamical Manin–Mumford conjecture for plane polynomial maps",
  "title_text": "On the dynamical Manin–Mumford conjecture for plane polynomial maps",
  "type": "peer-reviewed",
  "updated_at": "2026-11-07T13:20:42Z",
  "url": "https://research.draconitic.com/paper/1yj75j6nzx8mb",
  "venue": "Journal of the European Mathematical Society",
  "versions": []
}