A Presentation of the Kähler Differential Module for a Fat Point Scheme in ℙ^n₁ × … × ℙ^n_k

Abstract

Let 핐 be a fat point scheme in ℙn1 × … × ℙnk over a field K of characteristic zero. In this paper we introduce the multi-graded Kähler differential module for 핐 and we establish a short exact sequence of this module in terms of the thickening of 핐.