Takahiro Aoi

collaborators

3 papers

math.DG2024

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…

math.DG2024

Skoda-Zeriahi type integrability and entropy compactness for some measure with $L^{1}$ -density

Takahiro Aoi

In this paper, we prove the Skoda-Zeriahi type integrability theorem with respect to some measure with $L^{1}$ -density. In addition, we introduce the log-log threshold in order to de…

math.DG2022

A conical approximation of constant scalar curvature Kähler metrics of Poincaré type

Takahiro Aoi

Let $(X, L_{X})$ be a polarized manifold and $D$ be a smooth hypersurface such that $D \in ∣ L_{X} ∣$ . In this paper, we show that if there is no nontrivial holomorphic vector field on…

Microscopic stability thresholds and constant scalar curvature Kähler metrics

Skoda-Zeriahi type integrability and entropy compactness for some measure with L1-density

A conical approximation of constant scalar curvature Kähler metrics of Poincaré type

Skoda-Zeriahi type integrability and entropy compactness for some measure with $L^{1}$ -density