{
  "abstract": "We show that the derived categories of smooth families of twisted generalized flag varieties admit semiorthogonal decompositions into derived categories of twisted sheaves over the base. In particular, we obtain a categorification of Panin's computation of the Quillen K-theory of twisted flag varieties. The main ingredient is a generalization of the Samokhin-van der Kallen semiorthogonal decomposition for representation categories of parabolic subgroups from split simply connected semisimple groups to arbitrary quasi-split semisimple groups, including non-simply connected cases.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.05203",
  "author_total": 2,
  "authors": [
    {
      "name": "Alexey Ananyevskiy"
    },
    {
      "name": "Alexander Samokhin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fbq6p98ndy44d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.05203",
  "fulltext_url": null,
  "id": "fbq6p98ndy44d",
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  "landing_url": "https://arxiv.org/abs/2609.05203",
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  "licence_label": "arXiv licence",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
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      "arxiv",
      "math.KT"
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      "2608|Algebraic structures and combinatorial models"
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  "openalex": "W7211906562",
  "pdf_url": "https://arxiv.org/pdf/2609.05203",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fbq6p98ndy44d.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:18Z",
      "native_id": "2609.05203",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.05203"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Semiorthogonal decompositions for families of twisted flag varieties",
  "title_text": "Semiorthogonal decompositions for families of twisted flag varieties",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:18Z",
  "url": "https://research.draconitic.com/paper/fbq6p98ndy44d",
  "venue": "arXiv",
  "versions": []
}