English

The Gromov width of Bott-Samelson varieties

Algebraic Geometry 2022-10-27 v3 Representation Theory Symplectic Geometry

Abstract

We prove that the Gromov width of any Bott-Samelson variety birational to a Schubert variety and equipped with a rational K\"ahler form equals the symplectic area of a minimal curve. From this, we derive an estimate for the Seshadri constants of ample line bundles on Bott-Samelson varieties.

Cite

@article{arxiv.2003.07343,
  title  = {The Gromov width of Bott-Samelson varieties},
  author = {Narasimha Chary Bonala and Stéphanie Cupit-Foutou},
  journal= {arXiv preprint arXiv:2003.07343},
  year   = {2022}
}
R2 v1 2026-06-23T14:16:30.164Z