Open Access
January, 2018 A characterization of regular points by Ohsawa–Takegoshi extension theorem
Qi'an GUAN, Zhenqian LI
J. Math. Soc. Japan 70(1): 403-408 (January, 2018). DOI: 10.2969/jmsj/07017560

Abstract

In this article, we present that the germ of a complex analytic set at the origin in $\mathbb{C}^n$ is regular if and only if the related Ohsawa–Takegoshi extension theorem holds. We also obtain a necessary condition of the $L^2$ extension of bounded holomorphic sections from singular analytic sets.

Citation

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Qi'an GUAN. Zhenqian LI. "A characterization of regular points by Ohsawa–Takegoshi extension theorem." J. Math. Soc. Japan 70 (1) 403 - 408, January, 2018. https://doi.org/10.2969/jmsj/07017560

Information

Published: January, 2018
First available in Project Euclid: 26 January 2018

zbMATH: 06859858
MathSciNet: MR3750282
Digital Object Identifier: 10.2969/jmsj/07017560

Subjects:
Primary: 32C30 , 32C35 , 32U05

Keywords: Integral closure of ideals , Ohsawa–Takegoshi extension theorem , plurisubharmonic function

Rights: Copyright © 2018 Mathematical Society of Japan

Vol.70 • No. 1 • January, 2018
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