On the Zariski invariant of plane branches

We show how to obtain the Zariski invariant of a plane branch employing the contact order or the intersection multiplicity with elements in a particular family of curves, and we present some consequences of this result.

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Publication Details

Journal
Annales Polonici Mathematici
Published
2025-01-01
DOI
https://doi.org/10.4064/ap240627-22-1
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
Field-Weighted Citation Impact
0.00

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article

On the Zariski invariant of plane branches

Marcelo Escudeiro Hernandes, Mauro Fernando Hernández Iglesias
Annales Polonici Mathematici
Advanced Differential Equations and Dynamical Systems
article

On the Zariski invariant of plane branches

Marcelo Escudeiro Hernandes, Mauro Fernando Hernández Iglesias
article en

Abstract

We show how to obtain the Zariski invariant of a plane branch employing the contact order or the intersection multiplicity with elements in a particular family of curves, and we present some consequences of this result.

Annales Polonici Mathematici
Universidade Estadual de Maringá (BR), Pontificia Universidad Católica del Perú (PE)
Conselho Nacional de Desenvolvimento Científico e Tecnológico, Pontificia Universidad Católica del Perú
Openalex Percentile: Top 89%
Advanced Differential Equations and Dynamical Systems
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