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A study of curvature using infinitesimals

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Publication:444754
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DOI10.3792/pjaa.88.70zbMath1250.30043OpenAlexW2048341346MaRDI QIDQ444754

Laurentiu Paunescu, Satoshi Koike, Tzee-Char Kuo

Publication date: 23 August 2012

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1336394840


zbMATH Keywords

curvaturegradient canyonLojasiewicz exponentNewton-Piuseux fieldNewton-Puiseux infinitesimals


Mathematics Subject Classification ID

Complex singularities (32S99) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Riemann surfaces (30F99)


Related Items (2)

A’Campo curvature bumps and the Dirac phenomenon near a singular point ⋮ Concentration of curvature and Lipschitz invariants of holomorphic functions of two variables



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Equisingularity in \(\mathbb R^2\) as Morse stability in infinitesimal calculus
  • Multi-step concentration of the curvature in Milnor fibers
  • Courbure et singularites complexes
  • The Gauss-Bonnet defect of complex affine hypersurfaces
  • Enriched Riemann sphere, Morse stability and equi-singularity in 𝒪2


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