Algebraic computation of some intersection D-modules

Details Algebraic computation of some intersection D-modules Algebraic computation of some intersection D-modules

2006-04-12

arxiv.org/abs/math/0604287v1

Mathematics

Algebraic Geometry

18 pages

Scientific paper

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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