发表机构
Indian Institute of Technology Kanpur（坎普尔印度理工学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文完整刻画了 Fano 与弱 Fano 广义 Bott-Samelson 簇，并由此恢复相关特殊情形的已知结果。
AI 中文摘要
Bott-Samelson 簇为 Schubert 簇提供了自然的解消奇点，其推广形式称为广义 Bott-Samelson 簇，由 Nicolas Perrin 构造为一系列局部平凡纤维化构成的塔，纤维同构于 Schubert 簇。本文给出了 Fano 和弱 Fano 广义 Bott-Samelson 簇的完整刻画。作为推论，我们恢复了关于 ($G$-)Bott-Samelson 簇和极小广义 Bott-Samelson 簇的相应结果。
英文摘要
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.
Comments44 pages. Comments are welcome!
