Том 15 № 3-4

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Some remarks on a theorem of Green
(2022) Abdessami Ben Hmida Jalled, Fathi Haggui
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