2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/103708In 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"Algebraic GeometryComplex Variables14J70; 32Q45text