A characterization of regular points by Ohsawa–Takegoshi extension theorem

Qi'an Guan; Zhenqian Li

doi:10.2969/jmsj/07017560

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

A characterization of regular points by Ohsawa–Takegoshi extension theorem

Qi'an Guan, Zhenqian Li

著者情報

キーワード: Ohsawa–Takegoshi extension theorem, plurisubharmonic function, integral closure of ideals

ジャーナルフリー

2018 年 70 巻 1 号 p. 403-408

DOI https://doi.org/10.2969/jmsj/07017560

詳細

抄録

In this article, we present that the germ of a complex analytic set at the origin in ℂⁿ is regular if and only if the related Ohsawa–Takegoshi extension theorem holds. We also obtain a necessary condition of the 𝐿² extension of bounded holomorphic sections from singular analytic sets.