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

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

2006-03-30

arxiv.org/abs/math/0603715v2

Mathematics

Algebraic Geometry

11 pages

Scientific paper

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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