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Remarks on Foliations on \({{\mathbb {C}}}{{\mathbb {P}}}^2\) with a Unique Singular Point

  • Claudia R. Alcántara,
  • Jorge Mozo-Fernández

摘要

This paper is a contribution to the study of foliations on \({{\mathbb {C}}}{{\mathbb {P}}}^2\) C P 2 with a unique singularity. We provide an explicit example in degree 7 of such a foliation, in the non dicritical case, having a divergent separatrix, and subsequently, we study different families of such foliations in low degree.