Real and complex integral closure, Lipschitz equisingularity and applications on square matrices

DOI10.5427/jsing.2020.22ozbMath1453.32032arXiv1902.11146OpenAlexW4288553759MaRDI QIDQ5129967

Miriam S. Pereira, Thiago F. da Silva, Nivaldo de Góes Grulha Júnior

Publication date: 3 November 2020

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.11146

zbMATH Keywords

double structurefinite determinacybi-Lipschitz equisingularitycanonical vector fieldsreal and complex integral closure

Mathematics Subject Classification ID

Equisingularity (topological and analytic) (32S15) Singularities of surfaces or higher-dimensional varieties (14J17) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60)

Cites Work

• Lipschitz properties of semi-analytic sets
• Integral closure of modules and Whitney equisingularity
• The bi-Lipschitz equisingularity of essentially isolated determinantal singularities
• Solvable groups, free divisors and nonisolated matrix singularities. II: Vanishing topology
• Codimension Two Determinantal Varieties with Isolated Singularities
• The genericity of the infinitesimal Lipschitz condition for hypersurfaces
• The unfolding and determinacy theorems for subgroups of 𝒜 and 𝒦
• Classification of simple space curve singularities
• On families of square matrices
• BILIPSCHITZ DETERMINACY OF QUASIHOMOGENEOUS GERMS Research partially supported by CNPq, Brazil, grant 14049900-8. Research partially supported by CNPq, Brazil, grant 30006688-0, and by FAPESP, Brazil, grant 9710735-3.
• Simple Cohen–Macaulay Codimension 2 Singularities
• ON MATRICES DEPENDING ON PARAMETERS
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