The Gromov width of Bott-Samelson varieties

16 Mar 2020  ·  Narasimha Chary Bonala, Stéphanie Cupit-Foutou ·

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.

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Algebraic Geometry Representation Theory Symplectic Geometry