Work

Fano Generalized Bott-Samelson Varieties

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.07074

Authors: Bonala, Narasimha Chary, Pattanayak, Santosha, Singh, Yogendra

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7212077645

Cites: 2

Cited by:

Related to: 10