{
  "abstract": "The Bott-Samelson varieties provide natural desingularizations of Schubert varieties, and their generalizations, called generalized Bott-Samelson varieties, were constructed by Nicolas Perrin as towers of locally trivial fibrations with fibers isomorphic to Schubert varieties. In this article, we give a complete characterization of Fano and weak Fano generalized Bott-Samelson varieties. As a consequence, we recover the corresponding results for ($G$-)Bott-Samelson varieties and minuscule generalized Bott-Samelson varieties.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.07074",
  "author_total": 3,
  "authors": [
    {
      "name": "Narasimha Chary Bonala"
    },
    {
      "name": "Santosha Pattanayak"
    },
    {
      "name": "Yogendra Singh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/855mc8z3fwf8e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.07074",
  "fulltext_url": null,
  "id": "855mc8z3fwf8e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.07074",
  "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"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7212077645",
  "pdf_url": "https://arxiv.org/pdf/2609.07074",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/855mc8z3fwf8e.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.07074",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.07074"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Fano Generalized Bott-Samelson Varieties",
  "title_text": "Fano Generalized Bott-Samelson Varieties",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/855mc8z3fwf8e",
  "venue": "arXiv",
  "versions": []
}