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arXiv · 1602.01143

Decompositions of the higher order polars of plane branches

Evelia R. García Barroso·Janusz Gwoździewicz
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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}.

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Evelia R. García Barroso, Janusz Gwoździewicz. 2016-02-02. Decompositions of the higher order polars of plane branches. https://doi.org/10.1515/forum-2016-0049

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