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

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

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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Bibliographische Detailangaben
Veröffentlicht in:	arXiv.org 2019-01
Hauptverfasser:	Haggui, Fathi, Jalled, Abdessami
Format:	Artikel
Sprache:	eng
Schlagworte:	Hyperplanes Mathematical analysis
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	2331-8422

Zusammenfassung:	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.
ISSN:	2331-8422

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