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On the Zariski invariant of plane branches

Marcelo Escudeiro Hernandes, Mauro Fernando Hernández Iglesias Annales Polonici Mathematici MSC: Primary 14H20; Secondary 14H50, 14B05 DOI: 10.4064/ap240627-22-1 Published online: 4 April 2025

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.

Authors

  • Marcelo Escudeiro HernandesUniversidade Estadual de Maringá
    Maringá, PR 87020-900, Brazil
    e-mail
  • Mauro Fernando Hernández IglesiasPontificia Universidad Católica del Perú
    San Miguel 15088, Perú
    e-mail

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