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<p>In this paper we describe the factorization of the higher order polars of a generic branch in its equisingularity class. We generalize the results of Casas-Alvero and Hefez-Hernandes-Hernández to higher order polars.</p>

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On the Equisingularity Class of the General Higher Order Polars of Plane Branches

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年8月2日

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  • Evelia R. García Barroso,
  • Janusz Gwoździewicz,
  • Mateusz Masternak

摘要

In this paper we describe the factorization of the higher order polars of a generic branch in its equisingularity class. We generalize the results of Casas-Alvero and Hefez-Hernandes-Hernández to higher order polars.