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Degree of the first integral of a pencil in P2 defined by Lins Neto

Let P4 be the linear family of foliations of degree 4 in P2, introduced by A. Lins Neto, whose set of parameter with first integral Ip(P4) 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.

Autor(es):
Puchuri, Liliana
Año: 2013
Título de la revista: Publicacions Matematiques
Volumen: 57
Número: 1
Página inicial - Página final: 123-137
ISSN: 0214-1493
Url: http://mat.uab.cat/pubmat/articles/view_doi/10.5565/PUBLMAT_57113_05