Study of some holomorphic curves in $\C^3$ and their projection into the complex projectve space $\C P^2$

Abstract: We study holomorphic curves $f:\C\longrightarrow \C^3$ avoiding four complex hyperplanes and a real subspace of real dimension four or five in $\C^3$. We show that the projection of $f$ into the complex projective space $\C P^2$ is not necessarily constant.