Functions holomorphic along a \(C^1\) pencil of holomorphic discs

DOI10.1007/S12220-021-00660-XzbMath1478.32005arXiv2010.08969OpenAlexW3146542373MaRDI QIDQ2238529

Kang-Tae Kim, Ye-Won Luke Cho

Publication date: 1 November 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.08969

zbMATH Keywords

formal power seriescomplex-analyticityForelli's theorem

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Power series, series of functions of several complex variables (32A05) Holomorphic functions of several complex variables (32A10) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Capacity theory and generalizations (32U20)

Related Items (3)

A new plurisubharmonic capacity and functions holomorphic along holomorphic vector fields ⋮ Localization of Forelli's theorem ⋮ On Shimoda's Theorem

Cites Work

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• Note on power series
• On a problem of Max A. Zorn
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