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<p>We present some results concerning the Saito module and the torsion submodule of an analytic plane curve, and we provide a method for computing them.Using this algorithm, we compute analytic invariants for plane curves with multiplicity less than or equal to three.</p>

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On the Saito basis for plane curves

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年3月14日

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  • Emilio de Carvalho,
  • Percy Fernández-Sánchez,
  • Marcelo Escudeiro Hernandes

摘要

We present some results concerning the Saito module and the torsion submodule of an analytic plane curve, and we provide a method for computing them.Using this algorithm, we compute analytic invariants for plane curves with multiplicity less than or equal to three.