A stronger concept of K-stability

Abstract

In this paper, by introducing a wider class of one-parameter group actions for test configurations, we have a stronger form of the definition of K-stability. This allows us to obtain some key step of my preceding work in proving that constant scalar curvature polarization implies K-stability for polarized algebraic manifolds.

References in corpus (5)

• K-stability of constant scalar curvature polarization
• Lectures on Stability and Constant Scalar Curvature
• K-stability of constant scalar curvature Kähler manifolds
• Geometry of Kähler Metrics and Foliations by Holomorphic Discs
• Scalar curvature, moment maps and the Deligne Pairing

Cited by in corpus (1)

• K-stability of constant scalar curvature polarization