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December 2007 Weak analytic hyperbolicity of complements of generic surfaces of high degree in projective 3-space
Erwan Rousseau
Osaka J. Math. 44(4): 955-971 (December 2007).

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 degenerated, i.e. there exists a proper subvariety which contains the entire curve.

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Erwan Rousseau. "Weak analytic hyperbolicity of complements of generic surfaces of high degree in projective 3-space." Osaka J. Math. 44 (4) 955 - 971, December 2007.

Information

Published: December 2007
First available in Project Euclid: 7 January 2008

zbMATH: 1140.32013
MathSciNet: MR2383820

Subjects:
Primary: 14J70 , 32Q45

Rights: Copyright © 2007 Osaka University and Osaka City University, Departments of Mathematics

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Vol.44 • No. 4 • December 2007
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