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Asymptotic polybalanced kernels on extremal Kaehler manifolds

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.

preprint2016arXivOpen access
Toshiki Mabuchi
math.DG
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Toshiki Mabuchi

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