Asymptotic polybalanced kernels on extremal Kaehler manifolds
Differential Geometry
2016-11-01 v1
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.
Keywords
Cite
@article{arxiv.1610.09632,
title = {Asymptotic polybalanced kernels on extremal Kaehler manifolds},
author = {Toshiki Mabuchi},
journal= {arXiv preprint arXiv:1610.09632},
year = {2016}
}
Comments
submitted to a volume in honor of Professor Ngaiming Mok's 60th birthday