The Gromov width of generalized Bott-Samelson manifolds

Narasimha Chary Bonala; Yogendra Singh

The Gromov width of generalized Bott-Samelson manifolds

Algebraic Geometry 2026-08-05 v1

Authors: Narasimha Chary Bonala , Yogendra Singh

Abstract

We study the Gromov width of smooth generalized Bott-Samelson varieties, a class of projective varieties constructed by Perrin in \cite{Per07} as a generalization of classical Bott-Samelson resolutions of Schubert varieties. We show that the Gromov width of such a variety equipped with a rational K\"ahler form is given by the symplectic area of its minimal rational curves. As a consequence, we obtain upper bounds for the Seshadri constants of these varieties with respect to ample line bundles.

Keywords

Gromov width Bott-Samelson manifolds symplectic area minimal rational curves Seshadri constants projective varieties

Cite

@article{arxiv.2608.04544,
  title  = {The Gromov width of generalized Bott-Samelson manifolds},
  author = {Narasimha Chary Bonala and Yogendra Singh},
  journal= {arXiv preprint arXiv:2608.04544},
  year   = {2026}
}

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