{
  "abstract": "We give an example of a proper, regular, integral arithmetic surface over $\\mathrm{Spec}\\ \\Z$ endowed with a section, and whose étale fundamental group admits an infinite pro-$2$ quotient. The construction is a geometric analog of the Golod--Shafarevich towers for rings of integers of number fields.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.05972",
  "author_total": 1,
  "authors": [
    {
      "name": "Pablo Chenal"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9fh7acgvy1t8v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.05972",
  "fulltext_url": null,
  "id": "9fh7acgvy1t8v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.05972",
  "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"
    ],
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
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  ],
  "openalex": "W7220660578",
  "pdf_url": "https://arxiv.org/pdf/2610.05972",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9fh7acgvy1t8v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.05972",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.05972"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "A proper arithmetic surface with infinite étale fundamental group",
  "title_text": "A proper arithmetic surface with infinite étale fundamental group",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/9fh7acgvy1t8v",
  "venue": "arXiv",
  "versions": []
}