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Algebraic computation of some intersection D-modules

F. J. Calderon-Moreno·L. Narvaez-Macarro
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Abstract

Let $X$ be a complex analytic manifold, $D\subset X$ a locally quasi-homogeneous free divisor, $E$ an integrable logarithmic connection with respect to $D$ and $L$ the local system of the horizontal sections of $E$ on $X-D$. In this paper we give an algebraic description in terms of $E$ of the regular holonomic D-module whose de Rham complex is the intersection complex associated with $L$. As an application, we perform some effective computations in the case of quasi-homogeneous plane curves.

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F. J. Calderon-Moreno, L. Narvaez-Macarro. 2006-04-12. Algebraic computation of some intersection D-modules. https://arxiv.org/abs/math/0604287

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