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A Family of Dicritical Foliations with One Singularity

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Abstract

We give an example of a family of dicritical foliations over the projective plane with one singularity and prove that it contains foliations with only one line as algebraic solution.

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Correspondence to S. C. Coutinho.

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Jorge Oliveira was supported by a PIBIC grant from CNPq (Brazil). The work on this paper also benefited from access to the Portal de Periódicos da CAPES (Brazil) .

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Coutinho, S.C., Oliveira, J. A Family of Dicritical Foliations with One Singularity. Qual. Theory Dyn. Syst. 23, 66 (2024). https://doi.org/10.1007/s12346-023-00926-5

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