2006 | OriginalPaper | Buchkapitel
Algebraic Computation of Some Intersection D-Modules
verfasst von : F. J. Calderón Moreno, L. Narváez Macarro
Erschienen in: Mathematical Software - ICMS 2006
Verlag: Springer Berlin Heidelberg
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Let
D
⊂
C
n
be a locally quasi-homogeneous free divisor (e.g. a free hyperplane arrangement),
$\cal E$
an integrable logarithmic connection with respect to
D
and
${\cal L}$
the local system of horizontal sections of
${\cal E}$
on
X
–
D
. Let
${\rm IC}_X({\cal E})$
be the holonomic regular
${\cal D}_{X}$
-module whose de Rham complex is the intersection complex
${\rm IC}_X({\cal L})$
of Deligne-Goresky-MacPherson. In this paper we show how to use our previous results on the algebraic description of
${\rm IC}_X({\cal E})$
in order to obtain explicit presentations of it. Concrete examples for
n
= 2 are included.