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Weak analytic hyperbolicity of complements of generic surfaces of high degree in projective 3-space

Erwan Rousseau
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Abstract

In this article we prove that every entire curve in the complement of a generic hypersurface of degree $d\geq 586$ in $\mathbb{P}_{\mathbb{C}}^{3}$ is algebraically degenerate i.e there exists a proper subvariety which contains the entire curve.

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Erwan Rousseau. 2006-09-28. Weak analytic hyperbolicity of complements of generic surfaces of high degree in projective 3-space. https://arxiv.org/abs/math/0603715

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