A note on the Gromov width of toric manifolds

A note on the Gromov width of toric manifolds

The Gromov width of a uniruled projective Kähler manifold can be bounded from above by the symplectic area of its minimal curves. We apply this result to toric varieties and thus get in this case upper bounds expressed in toric combinatorial invariants.

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Veröffentlicht in:Journal of geometry and physics 2024-05, Vol.199, p.105149, Article 105149
Hauptverfasser: Bonala, Narasimha Chary, Cupit-Foutou, Stéphanie
Format: Artikel
Sprache:eng
Schlagworte:
Gromov width
Minimal curve
Seshadri constant
Toric variety
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Zusammenfassung:The Gromov width of a uniruled projective Kähler manifold can be bounded from above by the symplectic area of its minimal curves. We apply this result to toric varieties and thus get in this case upper bounds expressed in toric combinatorial invariants.
ISSN:0393-0440
1879-1662
DOI:10.1016/j.geomphys.2024.105149