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A Generalized L2 Division Theorem and the Strong Openness Property of Multiplier Ideal Sheaves
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 L2 division theorem for multiplier ideal sheaves. We also discuss the relationships among the L2-division theorem, the L2-extension theorem and the effective openness theorem.
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BibTeX
@misc{takakura2026generalized,
title = {{A Generalized $L^2$ Division Theorem and the Strong Openness Property of Multiplier Ideal Sheaves}},
author = {Masakazu Takakura},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.36420},
eprint = {2609.36420},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.36420},
}
RIS
TY - UNPB
TI - A Generalized L^2 Division Theorem and the Strong Openness Property of Multiplier Ideal Sheaves
AU - Masakazu Takakura
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.36420
UR - https://arxiv.org/abs/2609.36420
AB - 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.
ER -