Journal Title
Title of Journal: AAECC
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Abbravation: Applicable Algebra in Engineering, Communication and Computing
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Publisher
Springer Berlin Heidelberg
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Authors: Katsusuke Nabeshima Shinichi Tajima
Publish Date: 2016/03/23
Volume: 27, Issue: 6, Pages: 451-467
Abstract
Algebraic local cohomology classes associated with parametric semiquasihomogeneous hypersurface isolated singularities are considered in the context of symbolic computation The motivations for this paper are computer calculations of complete lists of Tjurina numbers of semiquasihomogeneous polynomials with isolated singularity A new algorithm that utilizes parametric local cohomology systems is proposed to compute Tjurina stratifications associated with mu constant deformations of weighted homogeneous isolated singularities The resulting algorithm gives in particular a suitable decomposition of the parameter space depending on the structure of the parametric local cohomology systems An efficient algorithm of computing parametric standard bases of relevant ideals is also given as an application of parametric local cohomology systems
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