2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69358This is the text of my lecture (in french) at the Bourbaki Seminar (november 2003) on the proof by Claire Voisin of the Green conjecture for a generic curve. This conjecture predicts the structure of the minimal resolution of the ideal of a canonically embedded curve in terms of the existence of certain special linear systems on the curve.Algebraic GeometryCommutative Algebra14H51; 13D02text