On the Approximate Polar Curves of Foliations

Fernández-Sánchez P.; García Barroso E.R.; Saravia-Molina N. · Mathematics (2023) · DOI: 10.3390/math11030613

Resumen

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.

Instituciones: Pontificia Universidad Católica del Perú