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arXiv · 2606.17211

On the analytic equivalence of branches in (n+1)-space

Marcelo Escudeiro Hernandes·Welinton Anderson Rocha·Maria Elenice Rodrigues Hernandes
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Abstract

In this paper, we consider Newton-Puiseux parametrizations of irreducible curves in (n+1)-space, n greater or equal to 1, within a fixed semigroup under the action of Mather's group A. We establish criteria for eliminating parameters while preserving the Newton-Puiseux form, extending known results for plane curves.

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Marcelo Escudeiro Hernandes, Welinton Anderson Rocha, Maria Elenice Rodrigues Hernandes. 2026-06-15. On the analytic equivalence of branches in (n+1)-space. https://arxiv.org/abs/2606.17211

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