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Computing $μ^{*}$ -Sequences of Hypersurface Isolated Singularities via Parametric Local Cohomology Systems

$icon-email$ 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 $μ^{*}$ -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 $μ^{*}$ -sequences. Lists of $μ^{*}$ -sequences of some typical cases are also given.

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Computing μ∗-Sequences of Hypersurface Isolated Singularities via Parametric Local Cohomology Systems

Abstract

Computing $μ^{*}$ -Sequences of Hypersurface Isolated Singularities via Parametric Local Cohomology Systems