Abstract

If R is the homogeneous coordinate ring of a reduced 0-dimensional subscheme of P n , we study the module of Kähler differentials Ω R/K 1 . 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 Ω R/K 1 . Finally, this function is computed in a number of special cases, in particular for reduced 0-dimensional almost complete intersections.

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