Masakazu Takakura

collaborators

4 papers

math.CV2026

Stein Criteria for Holomorphic Fibre Bundles

Masakazu Takakura

In this paper, we study Steinness of holomorphic fibre bundles. Over a compact Riemann surface, we prove that every holomorphic ball bundle is weakly $1$ -complete and that its tota…

math.CV2026

Rigidity of Pseudoconvex Neighborhoods and Ohsawa--Takegoshi Extension

Takayuki Koike, Masakazu Takakura

Let $Y$ be a holomorphic section of a holomorphic submersion with one-dimensional fibers over a connected compact complex manifold. Assuming that its normal bundle is unitary flat,…

math.CV2026

A Generalized $L^{2}$ Division Theorem and the Strong Openness Property of Multiplier Ideal Sheaves

Masakazu Takakura

In this paper, we generalize Guan's sharp effective strong openness theorem to the case of several plurisubharmonic weights. The proof uses a generalized Skoda-type $L^{2}$ division…

math.CV2025

On the sharp $L^{2}$ -estimates of Skoda division theorem

Masakazu Takakura

In this paper, we prove a Skoda type division theorem with sharp $L^{2}$ -estimate. Furthermore, using this estimate, we provide new characterizations of plurisubharmonic functions. W…

Stein Criteria for Holomorphic Fibre Bundles

Rigidity of Pseudoconvex Neighborhoods and Ohsawa--Takegoshi Extension

A Generalized L2 Division Theorem and the Strong Openness Property of Multiplier Ideal Sheaves

On the sharp L2-estimates of Skoda division theorem

A Generalized $L^{2}$ Division Theorem and the Strong Openness Property of Multiplier Ideal Sheaves

On the sharp $L^{2}$ -estimates of Skoda division theorem