Let D is contained in C~n be a locally quasi-homogeneous free divisor (e.g. a free hyperplane arrangement), ε an integrable logarithmic connection with respect to D and L the local system of horizontal sections of ε on X — D. Let IC_X(ε) be the holonomic regular D_X-module whose de Rham complex is the intersection complex IC_X (L) of Deligne-Goresky-MacPherson. In this paper we show how to use our previous results on the algebraic description of IC_X (ε) in order to obtain explicit presentations of it. Concrete examples for n = 2 are included.
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