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

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dc.creatorRousseau, Erwan
dc.date2006-03-30
dc.date2006-09-28
dc.date.accessioned2026-07-07T07:07:23Z
dc.date.available2026-07-07T07:07:23Z
dc.descriptionIn 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.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0603715
dc.identifierhttp://arxiv.org/abs/math/0603715
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110373
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject14J70; 32Q45
dc.titleWeak analytic hyperbolicity of complements of generic surfaces of high degree in projective 3-space
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