On the length of D-modules over Hyperplane Arrangements in Space

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2016-07

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Addis Ababa University

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A D-module is a module over a ring of Di_erential Operators. The major interest of such D-modules is as an approach to the theory of linear partial di_erential equations. Algebraic D-modules are modules over the Weyl algebra An over the _eld C of complex numbers. The main purpose of this thesis to work on the A3=module C[x;y;z]_; where _ is the product of linear forms. In this thesis we computed the decomposition factors and hence the length of A3 -module C[x; y; z]_ using the method of partial fractions of rational functions

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On the length of D-modules over

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