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<p>In this paper we provide a family of reduced plane curves with two branches that have a constant Tjurina number in their equisingularity class, along with a closed formula for it in terms of topological data.</p>

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The Tjurina number of a plane curve with two branches and high intersection multiplicity

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月3日

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  • Patricio Almirón,
  • Marcelo E. Hernandes

摘要

In this paper we provide a family of reduced plane curves with two branches that have a constant Tjurina number in their equisingularity class, along with a closed formula for it in terms of topological data.