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arXiv · 2608.04544

The Gromov width of generalized Bott-Samelson manifolds

Narasimha Chary Bonala·Yogendra Singh
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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.

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Narasimha Chary Bonala, Yogendra Singh. 2026-08-05. The Gromov width of generalized Bott-Samelson manifolds. https://arxiv.org/abs/2608.04544

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