Weak analytic hyperbolicity of complements of generic surfaces of high degree in projective 3-space
Rousseau, Erwan
Osaka J. Math., Tome 44 (2007) no. 1, p. 955-971 / Harvested from Project Euclid
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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.
Publié le : 2007-12-15
Classification:  32Q45,  14J70 
@article{1199719415,
     author = {Rousseau, Erwan},
     title = {Weak analytic hyperbolicity of complements of generic surfaces of high degree in projective 3-space},
     journal = {Osaka J. Math.},
     volume = {44},
     number = {1},
     year = {2007},
     pages = { 955-971},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1199719415}
}

Rousseau, Erwan. Weak analytic hyperbolicity of complements of generic surfaces of high degree in projective 3-space. Osaka J. Math., Tome 44 (2007) no. 1, pp.  955-971. http://gdmltest.u-ga.fr/item/1199719415/