arXiv subjects

Masakazu Takakura

Publications and source records attributed to Masakazu Takakura.

2 recordsLinked to original sources

arXiv2026

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

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 theorem for multiplier ideal sheaves. We also discuss the relationships among the $L^2$-division theorem, the $L^2$-extension theorem and the effective openness theorem.

math.CV↗

arXiv2025

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

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. We also explain that the sharp $L^2$-division theorem leads the Guan-Zhou's sharp $L^2$-estimate for extension theorem.

math.CV↗