{
  "abstract": "In this article, we define a notion for varieties called linear positive torsor presentation. For varieties with a linear positive torsor presentation over number fields, we establish the arithmetic purity of strong approximation with the Brauer--Manin obstruction off the empty set. As a consequence, we recover arithmetic purity for smooth toric variety with no non-constant global section. Moreover, we classify the chain connected class for rational points on such varieties over any field of characteristic zero.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21762",
  "author_total": 1,
  "authors": [
    {
      "name": "Yijin Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1t2g1y7fggdge.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21762",
  "fulltext_url": null,
  "id": "1t2g1y7fggdge",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.21762",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7222714750",
  "pdf_url": "https://arxiv.org/pdf/2610.21762",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1t2g1y7fggdge.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.21762",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21762"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "The linear positive torsor presentation and arithmetic purity of strong approximation",
  "title_text": "The linear positive torsor presentation and arithmetic purity of strong approximation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/1t2g1y7fggdge",
  "venue": "arXiv",
  "versions": []
}