A Generalized $L^2$ Division Theorem and the Strong Openness Property of Multiplier Ideal Sheaves
Year: 2026
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Author: Takakura, Masakazu
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214934743