{
  "abstract": "For $f(T) = T^2 - 1$, we establish a lower bound for the relative dynamical house of wandering algebraic integers. This bound depends on the degree over the maximal abelian extension of the rationals. Our proof follows Dimitrov's approach to the Schinzel-Zassenhaus Conjecture and its generalization by Habegger-Schmidt.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.28782",
  "author_total": 1,
  "authors": [
    {
      "name": "Alessio Cangini"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4ync24ger14pf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.28782",
  "fulltext_url": null,
  "id": "4ync24ger14pf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.28782",
  "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": "W7223205858",
  "pdf_url": "https://arxiv.org/pdf/2610.28782",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4ync24ger14pf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:22Z",
      "native_id": "2610.28782",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.28782"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "A relative Schinzel-Zassenhaus bound for the polynomial $T^2 - 1$",
  "title_text": "A relative Schinzel-Zassenhaus bound for the polynomial T^2 − 1",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/4ync24ger14pf",
  "venue": "arXiv",
  "versions": []
}