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Fano Generalized Bott-Samelson Varieties

  • Narasimha Chary Bonala
  • Santosha Pattanayak
  • Yogendra Singh
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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.

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Cite

BibTeXRIS
BibTeX
@misc{bonala2026fano,
  title = {{Fano Generalized Bott-Samelson Varieties}},
  author = {Narasimha Chary Bonala and Santosha Pattanayak and Yogendra Singh},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.07074},
  eprint = {2609.07074},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.07074},
}
RIS
TY  - UNPB
TI  - Fano Generalized Bott-Samelson Varieties
AU  - Narasimha Chary Bonala
AU  - Santosha Pattanayak
AU  - Yogendra Singh
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2609.07074
UR  - https://arxiv.org/abs/2609.07074
AB  - 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.
ER  -