Decompositions of the higher order polars of plane branches
Algebraic Geometry
2019-10-02 v1
Abstract
\noindent In \cite{Casas} Casas-Alvero found decompositions of higher order polars of an irreducible plane curve generalizing the results of Merle. We improve his result giving a finer decomposition where we determine the topological type and the number of a kind of branches that we call {\em threshold semi-roots}.
Keywords
Cite
@article{arxiv.1602.01143,
title = {Decompositions of the higher order polars of plane branches},
author = {Evelia R. García Barroso and Janusz Gwoździewicz},
journal= {arXiv preprint arXiv:1602.01143},
year = {2019}
}
Comments
15 pages