<p>We study the Brody hyperbolicity of a complex space ℂ<sup>3</sup> avoiding the arrangement of complex and real hyperplanes in ℂ<sup>3</sup>. We also investigate the projection onto the projective complex space ℂ<i>P</i><sup>2</sup> of holomorphic maps <i>f</i>: ℂ → ℂ<sup>3</sup> avoiding this configuration.</p>

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On the Brody Hyperbolicity of the Complex Space ℂ3 Avoiding Complex and Real Hyperplanes

  • Abdessami Jalled

摘要

We study the Brody hyperbolicity of a complex space ℂ3 avoiding the arrangement of complex and real hyperplanes in ℂ3. We also investigate the projection onto the projective complex space ℂP2 of holomorphic maps f: ℂ → ℂ3 avoiding this configuration.