TY - THES A1 - Tran, Nguyen Khanh Linh T1 - Kaehler Differential Algebras for 0-Dimensional Schemes and Applications N2 - The aim of this dissertation is to investigate Kaehler differential algebras and their Hilbert functions for 0-dimensional schemes in P^n. First we give relations between Kaehler differential 1-forms of fat point schemes and another fat point schemes. Then we determine the Hilbert polynomial and give a sharp bound for the regularity index of the module of Kaehler differential m-forms, for 0