Nondeformability of entire curves in projective hypersurfaces of high degree

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In this article, we prove that there does not exist a family of entire curves in the universal family of hypersurfaces of degree $d\geq 2n$ in the complex projective space ${\mathbb P}^n$. This can be seen as a weak version of the Kobayashi conjecture asserting that a general projective hypersurface of high degree is hyperbolic in the sense of Kobayashi.
to appear in the "Annales de l'Institut Fourier"

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Algebraic Geometry, Complex Variables, 14J70; 32Q45

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http://salesiana.dossiersoluciones.com/handle/123456789/103708

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0510376
 http://arxiv.org/abs/math/0510376

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arXiv