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<p>We give an example of a family of dicritical singular holomorphic foliations of the projective plane, with one singular point, whose very generic elements do not have any algebraic solutions.</p>

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A Dicritical Foliation with One Singularity and No Algebraic Solutions

  • 期刊论文

  • 发表日期：

    2025年5月25日

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  • S. C. Coutinho,
  • Jorge Oliveira,
  • Gabriel Barruci da Silva

摘要

We give an example of a family of dicritical singular holomorphic foliations of the projective plane, with one singular point, whose very generic elements do not have any algebraic solutions.