Minimal Rational Curves on Complete Toric Manifolds and Applications

DOI10.1017/S001309151300093XzbMath1296.14039arXiv0912.1638OpenAlexW2156983917MaRDI QIDQ5398467

Baohua Fu, Jun-Muk Hwang, Yifei Chen

Publication date: 28 February 2014

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.1638

zbMATH Keywords

toric varietiesrational curvesvariety of minimal rational tangents

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25)

Related Items (5)

A note on the Gromov width of toric manifolds ⋮ Minimal rational curves on wonderful group compactifications ⋮ Rational approximations on toric varieties ⋮ Fano schemes of complete intersections in toric varieties ⋮ Bounds on the Picard rank of toric Fano varieties with minimal curve constraints

Cites Work

• The number of vertices of a Fano polytope
• Birational geometry of higher-dimensional Fano hypersurfaces
• On the classification of toric Fano 4-folds
• On the classification of smooth projective toric varieties
• Toward the classification of higher-dimensional toric Fano varieties
• Deformation of holomorphic maps onto Fano manifolds of second and fourth Betti numbers 1
• Rational curves of minimal degree and characterizations of projective spaces
• Holomorphic maps onto varieties of non-negative Kodaira dimension
• Some Topics in Differential Algebraic Geometry I: Analytic Subgroups of Algebraic Groups

This page was built for publication: Minimal Rational Curves on Complete Toric Manifolds and Applications