On the Approximate Polar Curves of Foliations

Percy Fernández-Sánchez; Nancy Saravia; Evelia R. García Barroso

On the Approximate Polar Curves of Foliations

Percy Fernández-Sánchez, Nancy Saravia, Evelia R. García Barroso

Sección de Matemáticas

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	Spanish
Journal	Mathematics
Volume	11
Issue number	613
State	Published - 26 Jan 2023

Cite this

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title = "On the Approximate Polar Curves of Foliations",

abstract = "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 Garc{\'i}a Barroso and Gwo{\'z}dziewicz for plane branches.",

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AU - Fernández-Sánchez, Percy

AU - Saravia, Nancy

AU - García Barroso, Evelia R.

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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.

UR - https://www.mdpi.com/2227-7390/11/3/613

M3 - Artículo

SN - 2227-7390

VL - 11

JO - Mathematics

JF - Mathematics

IS - 613

ER -

On the Approximate Polar Curves of Foliations

Abstract

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