2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/147047There is a conjecture, that the torsionfreeness of the module of differentials in a point of an algebraic or algebroid curve should imply that the curve is non singular at that point. A report on the main results is given.15 pages, AMS-TeX v2.x, some minor details in the original submission and many misprints in the published version have been correctedAlgebraic GeometryCommutative Algebra1305 (Primary) 13B10, 14F10 (Secondary)Report on the Torsion of the Differential Module of an algebraic Curvetext