88 citations · 222 across the 17 of their papers we have counts for
17 papers
Asymptotic polybalanced kernels on extremal Kaehler manifolds
Toshiki Mabuchi
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 hav…
A remark on the Donaldson-Futaki invariant for sequences of test configurations
Toshiki Mabuchi
In this note, we consider a sequence of test configurations compatible with a Kaehler metric in on a polarized algebraic manifold . Then an explicit formula for the…
Existence problem of extremal Kaehler metrics
Toshiki Mabuchi
In this paper, we shall give some affirmative answer to an extremal Kaehler version of the Yau-Tian-Donaldson Conjecture. For a polarized algebraic manifold , we choose a ma…
The Yau-Tian-Donaldson Conjecture for general polarizations
Toshiki Mabuchi
In this paper, assuming that a polarized algebraic manifold is strongly K-stable, we shall show that the polarization class admits a constant scalar curvature Kaeh…
The Donaldson-Futaki invariant for sequences of test configurations
Toshiki Mabuchi
In this note, given a polarized algebraic manifold , we define the Donaldson-Futaki invariant for a sequence of test configurations for with exponents tending to inf…
Strong K-stability and asymptotic Chow-stability
Toshiki Mabuchi, Yasufumi Nitta
For a polarized algebraic manifold , let be an algebraic torus in the group of all holomorphic automorphisms of . Then strong relative K-stability will be shown to im…