The analytic classification of plane curves with two branches

DOI10.1007/s00209-014-1379-2zbMath1361.32038arXiv1208.3284OpenAlexW3102461445MaRDI QIDQ2512979

Abramo Hefez, M. E. Rodrigues Hernandes, Marcelo Escudeiro Hernandes

Publication date: 2 February 2015

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.3284

Mathematics Subject Classification ID

Plane and space curves (14H50) Computational aspects of algebraic curves (14Q05) Singularities of curves, local rings (14H20) Invariants of analytic local rings (32S10)

Related Items (6)

On the values of logarithmic residues along curves ⋮ The analytic classification of plane curves ⋮ On the \(\mathcal{A}\)-equivalence of quasi-ordinary parameterizations ⋮ Standard bases for fractional ideals of the local ring of an algebroid curve ⋮ Symmetry of maximals for fractional ideals of curves ⋮ On the bi-Lipschitz contact equivalence of plane complex function-germs

Uses Software

• planebranches.mws

Cites Work

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• The semigroup of values of a curve singularity with several branches
• The analytic classification of plane branches
• Complete transversals and the classification of singularities
• Semigroups associated to singular points of plane curves.
• Normal forms of foliations and curves defined by a function with a generic tangent cone
• The Classification of Singular Points of Algebraic Curves
• Simple singularities of multigerms of curves

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