Abstract
We introduce the notion of an approximate Jacobian Newton diagram which is the Jacobian Newton diagram of the morphism $(f^{(k)},f)$, where $f$ is a branch and $f^{(k)}$ is a characteristic approximate root of $f$. We prove that the set of all approximate Jacobian Newton diagrams is a complete topological invariant. This generalizes theorems of Merle and Ephraim about the decomposition of the polar curve of a branch.
Citation
Evelia Rosa GARCÍA BARROSO. Janusz GWOŹDZIEWICZ. "On the approximate Jacobian Newton diagrams of an irreducible plane curve." J. Math. Soc. Japan 65 (1) 169 - 182, January, 2013. https://doi.org/10.2969/jmsj/06510169
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