K-stability implies CM-stability

Abstract

In this paper, we prove that any polarized K-stable manifold is CM-stable. This extends what I did for Fano manifolds in my 2012 paper.

References in corpus (3)

• Special test configurations and $K$-stability of Fano varieties
• Stable Pairs and Coercive Estimates for The Mabuchi Functional
• A Numerical Criterion for K-Energy maps of Algebraic Manifolds

Cited by in corpus (4)

• Tian's properness conjectures and Finsler geometry of the space of Kahler metrics
• Quasi-projectivity of the moduli space of smooth Kahler-Einstein Fano manifolds
• On uniform K-stability of pairs
• Generalized Kähler-Einstein metric along $\mathbb{Q}$-Fano fibration