2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/103660The main goal of this work is to prove that every entire curve in a smooth hypersurface of degree greater than or equal to 97 in the complex projective space of dimension 4 must satisfy an algebraic differential equation of order 3. A logarithmic version of this result is given proving that every entire curve in the complement of a smooth surface of degree greater than or equal to 92 in the complex projective space of dimension 3 must satisfy an algebraic differential equation of order 3.30 pages, in french, final versionAlgebraic GeometryComplex Variables14F99; 32Q45text