2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99544A proof of Petri's general conjecture on the unobstructedness of linear systems on a general curve is proposed, using only the local properties of the deformation space of the pair (curve, line bundle).Correction of a mistake in the proof of Theorem 3.3Algebraic Geometry14D15, 14H40, 14D15text