{
  "abstract": "This paper studies flasque resolutions for linear reductive group schemes over arbitrary bases, extending Colliot-Thélène's theory. A flasque resolution exists for any linear reductive group scheme over a connected base scheme (resp. a quasi-compact, quasi-separated base scheme). The construction relies on Borovoi's fundamental group and descent theory involving automorphisms of Chevalley groups. Applications include R-equivalence for reductive group schemes over rings and over a field of cohomological dimension at most 2.",
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  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.03781",
  "author_total": 1,
  "authors": [
    {
      "name": "Philippe Gille"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d4yqz9rykdbzz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.03781",
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  "id": "d4yqz9rykdbzz",
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  "landing_url": "https://hal.science/hal-05770864v1",
  "language": "en",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
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  "pdf_url": "https://hal.science/hal-05770864/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d4yqz9rykdbzz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:44Z",
      "native_id": "hal-05770864",
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      "url": "https://hal.science/hal-05770864v1"
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      "native_id": "2610.03781",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.03781"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Flasque resolutions of linear reductive group schemes",
  "title_text": "Flasque resolutions of linear reductive group schemes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/d4yqz9rykdbzz",
  "venue": "HAL",
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}