1 citations · 1 across the 7 of their papers we have counts for
7 papers
Microscopic stability thresholds and constant scalar curvature Kähler metrics
Takahiro Aoi
In this paper, we directly prove that if the limit of microscopic stability thresholds introduced by Berman for a polarized manifold satisfies some condition, then there exists a u…
Skoda-Zeriahi type integrability and entropy compactness for some measure with -density
Takahiro Aoi
In this paper, we prove the Skoda-Zeriahi type integrability theorem with respect to some measure with -density. In addition, we introduce the log-log threshold in order to de…
A conical approximation of constant scalar curvature Kähler metrics of Poincaré type
Takahiro Aoi
Let be a polarized manifold and be a smooth hypersurface such that . In this paper, we show that if there is no nontrivial holomorphic vector field on…
On uniform log -stability for constant scalar curvature Kähler cone metrics
Takahiro Aoi, Yoshinori Hashimoto, Kai Zheng
We prove that the existence of constant scalar curvature Kähler metrics with cone singularities along a divisor implies log -polystability and -uniform log -stability, whe…
Complete scalar-flat Kähler metrics on affine algebraic manifolds
Takahiro Aoi
Let be an -dimensional polarized manifold. Let be a smooth hypersurface defined by a holomorphic section of . We prove that if has a constant positive…
Almost scalar-flat Kähler metrics on affine algebraic manifolds
Takahiro Aoi
Let be an -dimensional polarized manifold. Let be a smooth hypersurface defined by a holomorphic section of . In this paper, we show the existence of a co…
Toward a construction of scalar-flat Kähler metrics on affine algebraic manifolds
Takahiro Aoi
Let be an -dimensional polarized manifold. Let be a smooth hypersurface defined by a holomorphic section of . In this paper, we study the existence of a c…