TY - JOUR
T1 - Degree of the first integral of a pencil in ℙ2 defined by lins neto
AU - Medina, Liliana Puchuri
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
KW - First integral
KW - Pencil of foliations
KW - Poincaré problem
UR - http://www.scopus.com/inward/record.url?scp=84872521369&partnerID=8YFLogxK
U2 - 10.5565/PUBLMAT-57113-05
DO - 10.5565/PUBLMAT-57113-05
M3 - Article
AN - SCOPUS:84872521369
SN - 0214-1493
VL - 57
SP - 123
EP - 137
JO - Publicacions Matematiques
JF - Publicacions Matematiques
IS - 1
ER -