Asymptotic polybalanced kernels on extremal Kaehler manifolds

Abstract

In this paper, improving a preceding work, we obtain asymptotic polybalanced kernels associated to extremal Kaehler metrics on polarized algebraic manifolds. As a corollary, we have a stronger asymptotic relative Chow-polystability for extremal Kaehler polarized algebraic manifolds. Finally, related to the Yau-Tian-Donaldson Conjecture for extremal Kaehler metrics, we shall discuss the difference between strong relative K-stability and relative K-stability.

submitted to a volume in honor of Professor Ngaiming Mok's 60th birthday

Cited by in corpus (2)

• Relative stability associated to quantised extremal Kähler metrics
• Asymptotic Chow semistability implies Ding polystability for Gorenstein toric Fano varieties