Hyperbolicity of the complement of arrangements of non complex lines
Filomat, Tome 34 (2020) no. 9, p. 3109
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The goal of this paper is twofold. We study holomorphic curves f : C −→ C 3 avoiding four complex hyperplanes and a real subspace of real dimension five in C 3 where we study the cases where the projection of f into the complex projective space CP 2 is constant. On the other hand, we investigate the kobayashi hyperbolicity of the complement of five perturbed lines in CP 2.
Classification :
32Q45, 32Q60, 32T15, 58E05
Keywords: complex manifold, Kobayashi hyperbolicity, hyperbolic imbeddedness, Hartogs domain, tautness
Keywords: complex manifold, Kobayashi hyperbolicity, hyperbolic imbeddedness, Hartogs domain, tautness
Fathi Haggui; Abdessami Jalled. Hyperbolicity of the complement of arrangements of non complex lines. Filomat, Tome 34 (2020) no. 9, p. 3109 . doi: 10.2298/FIL2009109H
@article{10_2298_FIL2009109H,
author = {Fathi Haggui and Abdessami Jalled},
title = {Hyperbolicity of the complement of arrangements of non complex lines},
journal = {Filomat},
pages = {3109 },
year = {2020},
volume = {34},
number = {9},
doi = {10.2298/FIL2009109H},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2009109H/}
}
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