On the Brody hyperbolicity of the complex space $\mathbb C^3$ avoiding complex and real hyperplanes

Authors

  • Abdessami Jalled University of Grenoble Alpes, ENSIMAG, Saint-Martin-d'Hères, France

DOI:

https://doi.org/10.3842/umzh.v77i10.8896

Keywords:

Holomorphic curves,, Holomorphic curves avoiding hyperplane,, Complex geometry, Projective space

Abstract

UDC 517.5

We study the Brody hyperbolicity of а complex space $\mathbb C^3$ avoiding the arrangement of complex and real hyperplanes in $\mathbb C^3$. We also investigate the projection onto the  projective complex space $\mathbb C P^2$ of holomorphic maps $f\colon \mathbb C\rightarrow\mathbb C^3$ avoiding this configuration.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 10, 2025.

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Published

30.09.2025

Issue

Vol. 77 No. 10 (2025)

Section

Research articles

License

Copyright (c) 2025 Abdessami Jalled

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Jalled, Abdessami. “On the Brody Hyperbolicity of the Complex Space $\mathbb C^3$ Avoiding Complex and Real Hyperplanes”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 10, Sept. 2025, p. 642, https://doi.org/10.3842/umzh.v77i10.8896.