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The goal of this paper is twofold. We study holomorphic curves f : C −→ C3 avoiding four complex hyperplanes and a real subspace of real dimension five in C3 where we study the cases where the projection of f into the complex projective space CP is constant. On the other hand, we investigate the kobayashi hyperbolicity of the complement of five perturbed lines in CP.

Hyperbolicity of the complement of arrangements of non complex lines