Computing Tjurina stratifications of \(\mu \)-constant deformations via parametric local cohomology systems

DOI10.1007/s00200-016-0289-4zbMath1357.13021OpenAlexW2334652002MaRDI QIDQ505653

Katsusuke Nabeshima, Shinichi Tajima

Publication date: 26 January 2017

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-016-0289-4

zbMATH Keywords

local cohomologystandard basesmy-constant deformationsemiquasihomogeneous singularityTjurina algebra

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Power series rings (13J05) Duality theorems for analytic spaces (32C37) Residues for several complex variables (32A27)

Related Items (6)

Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals ⋮ Computing regular meromorphic differential forms via Saito's logarithmic residues ⋮ A new algorithm for computing logarithmic vector fields along an isolated singularity and Bruce-Roberts Milnor ideals ⋮ An algorithm for computing torsion differential forms associated with an isolated hypersurface singularity ⋮ An effective method for computing Grothendieck point residue mappings ⋮ Generalized Integral Dependence Relations

Uses Software

• Risa/Asir
• SINGULAR

Cites Work

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• Criterion for biholomorphic equivalence of isolated hypersurface singularities
• NORMAL FORMS OF FUNCTIONS IN NEIGHBOURHOODS OF DEGENERATE CRITICAL POINTS

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