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Plane branches with Newton nondegenerate polars

Research paper by Abramo Hefez, Marcelo Escudeiro Hernandes, Mauro Fernando Hernández Iglesias

Indexed on: 27 Jan '16Published on: 27 Jan '16Published in: Mathematics - Algebraic Geometry



Abstract

We characterize the equisingularity classes of irreducible plane curve germs whose general members have a Newton nondegenerate general polar curve. In addition, we give explicit Zariski open sets of curves in such equisingularity classes whose general polars are Newton nondegenerate and describe their topology.