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Weak analytic hyperbolicity of generic hypersurfaces of high degree in the complex projective space of dimension 4

Erwan Rousseau

math.AGarXiv:math/0510285

Abstract

The main goal of this work is to prove that every entire curve in a generic hypersurface of degree greater than or equal to 593 in the complex projective space of dimension 4 is algebraically degenerated i.e contained in a proper subvariety.

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