2014 | OriginalPaper | Buchkapitel
An Algorithm for Computing the Truncated Annihilating Ideals for an Algebraic Local Cohomology Class
verfasst von : Takafumi Shibuta, Shinichi Tajima
Erschienen in: Computer Algebra in Scientific Computing
Verlag: Springer International Publishing
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Let
σ
be an algebraic local cohomology class, and
k
a natural number. The purpose of this paper is to present an algorithm for computing the right
D
-ideal
$\mathcal{Ann^{(k)}(\sigma)}$
generated by linear differential operators annihilating
σ
and of order less than or equal to
k
. This algorithm is based on Matlis duality theorem, and is applicable to the case where
σ
has parameters in its coefficients. Our main interest is where algebraic local cohomology classes
σ
is a generator of the dual space of the Milnor algebra of a hypersurface isolated singularity.