TY - JOUR
T1 - On the Approximate Polar Curves of Foliations
AU - Fernández-Sánchez, Percy
AU - García Barroso, Evelia R.
AU - Saravia-Molina, Nancy
N1 - Publisher Copyright:
© 2023 by the authors.
PY - 2023/2
Y1 - 2023/2
N2 - We present a decomposition theorem of the generic polar curves of a generalized curve foliation with only one separatrix and the Hamiltonian foliations defined by the approximate roots of the generatrix. This is a generalization to foliations of the decomposition theorem of approximate Jacobians given by García Barroso and Gwoździewicz for plane branches.
AB - We present a decomposition theorem of the generic polar curves of a generalized curve foliation with only one separatrix and the Hamiltonian foliations defined by the approximate roots of the generatrix. This is a generalization to foliations of the decomposition theorem of approximate Jacobians given by García Barroso and Gwoździewicz for plane branches.
KW - characteristic approximate root
KW - non-dicritical foliation
KW - polar curve
UR - http://www.scopus.com/inward/record.url?scp=85147868003&partnerID=8YFLogxK
U2 - 10.3390/math11030613
DO - 10.3390/math11030613
M3 - Article
AN - SCOPUS:85147868003
SN - 2227-7390
VL - 11
JO - Mathematics
JF - Mathematics
IS - 3
M1 - 613
ER -