A characterization of regular points by Ohsawa-Takegoshi extension theorem

DOI10.2969/jmsj/07017560zbMath1394.32008arXiv1603.02887OpenAlexW2784836771MaRDI QIDQ1743708

Qi'an Guan, Zhenqian Li

Publication date: 13 April 2018

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.02887

zbMATH Keywords

integral closure of idealsplurisubharmonic functionOhsawa-Takegoshi extension theorem

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Analytic subsets and submanifolds (32C25) Plurisubharmonic functions and generalizations (32U05)

Related Items (4)

Lelong number and the log canonical thresholds of plurisubharmonic functions on analytic subsets ⋮ On the Briançon-Skoda theorem for analytic local rings with singularities ⋮ On \(L^2\) extension from singular hypersurfaces ⋮ Extension of holomorphic functions defined on singular complex hypersurfaces with growth estimates in strictly pseudoconvex domains of $\mathbb{C}^n$

Cites Work

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• A proof of Demailly's strong openness conjecture
• On the extension of \(L^ 2\) holomorphic functions
• Integral closure of ideals and equisingularity
• On a curvature condition that implies a cohomology injectivity theorem of Kollár-Skoda type
• A remark on the theorem of Ohsawa-Takegoshi

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