Geodesic
Hyperbolicity of Generic Deformations
Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 2, pp. 39-46

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We modify the deformation method in [B. Shiffman and M. Zaidenberg, Functional Anal. Appl., 39:1 (2005), 76–79] to construct further examples of Kobayashi hyperbolic surfaces in $\mathbb{P}^3_{\mathbb{C}}$ of any even degree $d\ge 8$.
Keywords: Kobayashi hyperbolicity, projective hypersurface, deformation. 
@article{FAA_2009_43_2_a2,
     author = {M. G. Zaidenberg},
     title = {Hyperbolicity of {Generic} {Deformations}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {39--46},
     publisher = {mathdoc},
     volume = {43},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2009_43_2_a2/}
}
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M. G. Zaidenberg. Hyperbolicity of Generic Deformations. Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 2, pp. 39-46. http://geodesic.mathdoc.fr/item/FAA_2009_43_2_a2/