Report on the Torsion of the Differential Module of an algebraic Curve

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There 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 corrected

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