Kähler differentials for points in image Original Research Article

If R is the homogeneous coordinate ring of a reduced 0-dimensional subscheme of image, we study the module of Kähler differentials ΩR/K1. Explicit presentations of it and its torsion submodule are used to describe the module structure. From this we derive many properties of the Hilbert function of ΩR/K1. Finally, this function is computed in a number of special cases, in particular for reduced 0-dimensional almost complete intersections.