Equisingular and equinormalizable deformations of isolated non-normal singularities

DOI10.4310/MAA.2017.v24.n2.a3zbMath1387.14020arXiv1702.05505MaRDI QIDQ1692613

Gert-Martin Greuel

Publication date: 10 January 2018

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.05505

zbMATH Keywords

equisingularityMilnor number\(\delta\)-invariantsimultaneous normalizationtopological trivialityisolated non-normal singularities

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Equisingularity (topological and analytic) (32S15) Germs of analytic sets, local parametrization (32B10) Complex surface and hypersurface singularities (32S25) Normal analytic spaces (32C20) Singularities of curves, local rings (14H20) Deformations of complex singularities; vanishing cycles (32S30) Local complex singularities (32S05) Deformations of singularities (14B07) Infinitesimal methods in algebraic geometry (14B10)

Related Items (7)

Gluing of analytic space germs, invariants and Watanabe's conjecture ⋮ A quick trip into local singularities of complex curves and surfaces ⋮ On Milnor’s fibration theorem and its offspring after 50 years ⋮ Whitney equisingularity in families of generically reduced curves ⋮ Topology of smoothings of non-isolated singularities of complex surfaces ⋮ Deformation and Smoothing of Singularities ⋮ Limit of Tangents on Complex Surfaces

Uses Software

• SINGULAR
• resolve.lib
• equising.lib
• normal.lib

This page was built for publication: Equisingular and equinormalizable deformations of isolated non-normal singularities