Decompositions of the higher order polars of plane branches
arXiv:1602.01143 · doi:10.1515/forum-2016-0049
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}.
15 pages