Add to ORKGThe concept of CM stabilitywas introduced by the second author in the early 90s to study the K-energy on the space of Kähler metrics on a compact Kähler manifold X with fixed Kähler class. The properness of the K-energy implies the CM stability of the underly-ing polarized manifold, this follows from the fact that the K-energy is the logarithm o
It is a natural problem, dating back to Calabi, to find canonical metrics on complex manifolds. In t...
We express notions of K-stability of polarized spherical varieties in termsof combinatorial data, va...
The aim of this paper is to study the stability of the characteristic vector field of a compact K-co...
In this note, we prove that on polarized toric manifolds the relative K-stability with respect to Do...
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...
Abstract. As recently pointed out by Li and Xu, the definition of K-stability, and the author’s proo...
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...
In [3], Tian introduced two concepts of “stability ” for Fano mani-folds, i.e., K-stability and CM-s...
In this paper. we give a sufficient condition for both the relative K-stability and the properness o...
We show that a polarised manifold with a constant scalar curvature Kähler metric and discrete automo...
We prove that if a Fano manifold M is K-stable, then it admits a Kahler-Einstein metric. It affirms ...
We study the existence of extremal Kähler metrics on Kähler manifolds. After introducing a notion of...
AbstractWe show that a polarised manifold with a constant scalar curvature Kähler metric and discret...
Abstract. This paper grew out of my lectures at Nankai Institute as well as a few other conferences ...
We present classical and recent results on Kähler-Einstein metrics on compact complex manifolds, foc...
It is a natural problem, dating back to Calabi, to find canonical metrics on complex manifolds. In t...
We express notions of K-stability of polarized spherical varieties in termsof combinatorial data, va...
The aim of this paper is to study the stability of the characteristic vector field of a compact K-co...
In this note, we prove that on polarized toric manifolds the relative K-stability with respect to Do...
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...
Abstract. As recently pointed out by Li and Xu, the definition of K-stability, and the author’s proo...
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...
In [3], Tian introduced two concepts of “stability ” for Fano mani-folds, i.e., K-stability and CM-s...
In this paper. we give a sufficient condition for both the relative K-stability and the properness o...
We show that a polarised manifold with a constant scalar curvature Kähler metric and discrete automo...
We prove that if a Fano manifold M is K-stable, then it admits a Kahler-Einstein metric. It affirms ...
We study the existence of extremal Kähler metrics on Kähler manifolds. After introducing a notion of...
AbstractWe show that a polarised manifold with a constant scalar curvature Kähler metric and discret...
Abstract. This paper grew out of my lectures at Nankai Institute as well as a few other conferences ...
We present classical and recent results on Kähler-Einstein metrics on compact complex manifolds, foc...
It is a natural problem, dating back to Calabi, to find canonical metrics on complex manifolds. In t...
We express notions of K-stability of polarized spherical varieties in termsof combinatorial data, va...
The aim of this paper is to study the stability of the characteristic vector field of a compact K-co...