Uniform K-stability for extremal metrics on toric varieties

Abstract

In this paper we prove that for toric varieties the uniform K-stability is the necessary condition for the existence of extremal metrics.

References in corpus (3)

• Affine techniques on extremal metrics on toric surfaces
• Relative K-stability of extremal metrics
• Interior regularity on the Abreu equation

Cited by in corpus (4)

• Convergence of the calabi flow on toric varieties and related Kaehler manifolds
• Differential inequalities on homogeneous toric bundles
• Some Estimates for a Generalized Abreu's Equation
• Interior Estimates for the $n$-dimensional Abreu's Equation