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A note on the Gromov width of toric manifolds

Algebraic Geometry 2024-02-27 v3 Symplectic Geometry

Abstract

The Gromov width of a uniruled projective K\"ahler 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.

Keywords

Cite

@article{arxiv.2211.04378,
  title  = {A note on the Gromov width of toric manifolds},
  author = {Narasimha Chary Bonala and Stéphanie Cupit-Foutou},
  journal= {arXiv preprint arXiv:2211.04378},
  year   = {2024}
}

Comments

Final version, 13 pages