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Computing $\mu^*$-Sequences of Hypersurface Isolated Singularities via Parametric Local Cohomology Systems
Katsusuke Nabeshima
,
Shinichi Tajima
Abstract
Complex analytic invariants of hypersurface isolated singularities are considered in the context of symbolic computation. The motivations for this paper are computer calculations of $\mu^*$-sequences that introduced by B. Teissier to study the Whitney equisingularity of deformations of complex hypersurfaces. A new algorithm that utilizes parametric local cohomology systems is proposed to compute $\mu^*$-sequences. Lists of $\mu^*$-sequences of some typical cases are also given.