Abstract
Let $\mathcal{P}_4$ be the linear family of foliations of degree $4$ in $\mathbb{P}^2$ introduced by A. Lins Neto, whose set of parameter with first integral $I_p(\mathcal{P}_4)$ is dense and countable. In this work, we will compute explicitly the degree of the rational first integral of the foliations in this linear family, as a function of the parameter.
Citation
Liliana Puchuri Medina. "Degree of the first integral of a pencil in $\mathbb{P}^2$ defined by Lins Neto." Publ. Mat. 57 (1) 123 - 137, 2013.
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