Decompositions of the higher order polars of plane branches

Published 2 Feb 2016 in math.AG | (1602.01143v1)

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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