The Gromov width of generalized Bott-Samelson manifolds

2026/08/05 by Narasimha Chary Bonala, Yogendra Singh
Mathematics · #math.AG #msc:53D05 #msc:14M15 #msc:14L30 #msc:14M25

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arxiv created 2026/08/05 · arxiv updated 2026/08/06

Abstract

We study the Gromov width of smooth generalized Bott-Samelson varieties, a class of projective varieties constructed by Perrin in \citePer07 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 Kähler 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.

Citations

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