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arXiv · 1106.1126

On the approximate jacobian Newton diagrams of an irreducible plane curve

Evelia R. García Barroso·Janusz Gwozdziewicz
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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.

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Evelia R. García Barroso, Janusz Gwozdziewicz. 2011-06-06. On the approximate jacobian Newton diagrams of an irreducible plane curve. https://doi.org/10.2969/jmsj%2F06510169

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