关于格林的一个定理的几点说明

Q3 Mathematics Proceedings of the International Geometry Center Pub Date : 2022-12-06 DOI:10.15673/tmgc.v15i3-4.2328

Abdessami Jalled, F. Haggui

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引用次数: 0

摘要

本文的目的是研究从C到C3的全纯曲线，避免了C3中的四个复超平面和一个实维四维的实子空间。我们证明了f在复射影空间cp ^2中的投影不像格林研究的复情况那样保持常数，这表明避免的超平面的复结构是格林定理中的一个必要条件

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Some remarks on a theorem of Green

The purpose of this paper is to study holomorphic curves f from C to C3 avoiding four complex hyperplanes and a real subspace of real dimension four in C3. We show that the projection of f into the complex projective space C P^2 does not remain constant as in the complex case studied by Green, which indicates that the complex structure of the avoided hyperplanes is a necessary condition in the Green theorem

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