On The Length Of D-modules Over Hyperplane Arrangements In Space

A D-module is a module over a ring of Di_erential Operators. The majorrninterest of such D-modules is as an approach to the theory of linear partialrndi_erential equations. Algebraic D-modules are modules over the Weyl algebrarnAn over the _eld C of complex numbers. The main purpose of this thesisrnto work on the A3=module C[x;y;z]_; where _ is the product of linear forms.rnIn this thesis we computed the decomposition factors and hence the lengthrnof A3 -module C[x; y; z]_ using the method of partial fractions of rationalrnfunctions

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