Infinitesimal Lipschitz conditions on a family of analytic varieties: genericity and necessity
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Publication:6656137
DOI10.1007/S40863-024-00452-5MaRDI QIDQ6656137
Terence Gaffney, Thiago da Silva
Publication date: 2 January 2025
Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)
Integral closure of commutative rings and ideals (13B22) Equisingularity (topological and analytic) (32S15) Singularities of surfaces or higher-dimensional varieties (14J17) Local analytic geometry (32B99) Complex spaces (32C15)
Cites Work
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- Integral closure of modules and Whitney equisingularity
- Specialization of integral dependence for modules
- A geometric theory of the Buchsbaum-Rim multiplicity
- Multiplicities and equisingularity of ICIS germs
- The bi-Lipschitz equisingularity of essentially isolated determinantal singularities
- Local bi-Lipschitz classification of \(2\)-dimensional semialgebraic sets
- The genericity of the infinitesimal Lipschitz condition for hypersurfaces
- Relative Lipschitz-Saturation
- Generalized Buchsbaum-Rim Multiplicities and a Theorem of Rees
- 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.
- Rigidity of bi-Lipschitz equivalence of weighted homogeneous function-germs in the plane
- General Theory of Saturation and of Saturated Local Rings II: Saturated Local Rings of Dimension 1
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