Enriched Riemann sphere, Morse stability and equi-singularity in 𝒪2

DOI10.1112/JLMS/JDR049zbMath1254.14034arXiv0907.0105OpenAlexW1975574130MaRDI QIDQ2880394

Laurentiu Paunescu, Tzee-Char Kuo

Publication date: 13 April 2012

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.0105

zbMATH Keywords

Newton polygonequisingularityfractional power seriesPuiseux expansioninfinitesimalsMorse singularityMorse stability

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Real-analytic and semi-analytic sets (14P15) Plane and space curves (14H50) Equisingularity (topological and analytic) (32S15) Singularities of curves, local rings (14H20) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Classification; finite determinacy of map germs (58K40) Deformation of singularities (58K60)

Related Items (4)

Gauss–Lucas and Kuo–Lu Theorems ⋮ A’Campo curvature bumps and the Dirac phenomenon near a singular point ⋮ A study of curvature using infinitesimals ⋮ Concentration of curvature and Lipschitz invariants of holomorphic functions of two variables

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