On the Approximate Polar Curves of Foliations
- Fernández-Sánchez, Percy 2
- García Barroso, Evelia R. 1
- Saravia-Molina, Nancy 2
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1
Universidad de La Laguna
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2
Pontificia Universidad Católica del Perú
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ISSN: 2227-7390
Año de publicación: 2023
Volumen: 11
Número: 3
Páginas: 613
Tipo: Artículo
Otras publicaciones en: Mathematics
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.