Curvature on some Kähler toric manifolds

Abstract

We use the Guillemin--Abreu formalism to give a unified treatment of Kähler metrics with positive holomorphic bisectional curvature on ${\mathbb{C}}^n$ and positive holomorphic sectional curvature on $\mathcal{O}(-\ell )$ and the Hirzebruch manifolds $M_{n,\ell }$.

arXiv comment10 pages