Polynomial foliations of R2

Xavier Jarque; Jaume Llibre

doi:10.2140/pjm.2001.197.53

Polynomial foliations of R²

Xavier Jarque, Jaume Llibre

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

8 Citations (Scopus)

Abstract

We study the problem of the topological classification of planar polynomial foliations of degree n by giving new lower and upper bounds for the maximum number of inseparable leaves. Moreover, we characterize the planar polynomial foliations that are structural stable under polynomial perturbations and study the exact number of inseparable leaves for this family.

Original language	English
Pages (from-to)	53-72
Journal	Pacific Journal of Mathematics
Volume	197
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2001.197.53
Publication status	Published - 1 Jan 2001

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title = "Polynomial foliations of R2",

abstract = "We study the problem of the topological classification of planar polynomial foliations of degree n by giving new lower and upper bounds for the maximum number of inseparable leaves. Moreover, we characterize the planar polynomial foliations that are structural stable under polynomial perturbations and study the exact number of inseparable leaves for this family.",

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AB - We study the problem of the topological classification of planar polynomial foliations of degree n by giving new lower and upper bounds for the maximum number of inseparable leaves. Moreover, we characterize the planar polynomial foliations that are structural stable under polynomial perturbations and study the exact number of inseparable leaves for this family.

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DO - 10.2140/pjm.2001.197.53

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JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

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