On the Jacobian Newton polygon of plane curve singularities

DOI10.1007/s00229-007-0150-yzbMath1139.32014OpenAlexW1980117110MaRDI QIDQ2480754

Andrzej Lenarcik

Publication date: 3 April 2008

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-007-0150-y

Mathematics Subject Classification ID

Milnor fibration; relations with knot theory (32S55) Singularities of curves, local rings (14H20)

Related Items

Eggers tree and Jacobian Newton polygon ⋮ Milnor numbers in deformations of homogeneous singularities ⋮ Milnor numbers of deformations of semi-quasi-homogeneous plane curve singularities ⋮ Characterization of Jacobian Newton polygons of plane branches and new criteria of irreducibility ⋮ Integral closure of ideals and equisingularity ⋮ Arnold's problem on monotonicity of the Newton number for surface singularities ⋮ Local Łojasiewicz exponents, Milnor numbers and mixed multiplicities of ideals

Cites Work

• Variétés polaires. I: Invariants polaires des singularites d'hypersurfaces
• Polyedres de Newton et nombres de Milnor
• Invariants polaires des courbes planes
• On the polar quotients of an analytic plane curve
• Polar quotients of a plane curve and the Newton algorithm
• Factorization of the polar curve and the Newton polygon
• Sur Les Courbes Polaires D'une Courbe Plane Réduite
• Characterization of non-degenerate plane curve singularities
• Newton-Puiseux roots of Jacobian determinants
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