The Gromov Width of Bott-Samelson Varieties

The Gromov Width of Bott-Samelson Varieties

We prove that the Gromov width of any Bott-Samelson variety associated to a reduced expression and equipped with a rational Kähler 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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Veröffentlicht in:Transformation groups 2024-06, Vol.29 (2), p.495-516
Hauptverfasser: Bonala, Narasimha Chary, Cupit-Foutou, Stéphanie
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Lie Groups
Mathematics
Mathematics and Statistics
Topological Groups
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Zusammenfassung:We prove that the Gromov width of any Bott-Samelson variety associated to a reduced expression and equipped with a rational Kähler 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.
ISSN:1083-4362
1531-586X
DOI:10.1007/s00031-022-09765-1