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arxiv: 1902.00083 · v1 · pith:IV75LYHMnew · submitted 2019-01-31 · 🧮 math.CV

Study of some holomorphic curves in C³ and their projection into the complex projectve space C P²

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keywords complexcurvesfourholomorphicprojectionrealspaceavoiding
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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.

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