Local polar invariants for plane singular foliations

Cano, Felipe; Corral Pérez, Nuria; Mol, Rogério

doi:10.1016/j.exmath.2018.01.003

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LocalPolarInvariants.pdf (468.3Kb)

Identificadores

URI: https://hdl.handle.net/10902/34948

DOI: 10.1016/j.exmath.2018.01.003

ISSN: 0723-0869

ISSN: 1878-0792

Fecha

2019-06

Derechos

Publicado en

Expositiones Mathematicae, 2019, 37(2), 145-164

Editorial

Elsevier

Enlace a la publicación

https://doi.org/10.1016/j.exmath.2018.01.003

Palabras clave

Holomorphic foliation

Polar curves

Invariant curves

Resumen/Abstract

In this survey paper, we take the viewpoint of polar invariants to the local and global studyof non-dicritical holomorphic foliation in dimension two and their invariant curves. It appears acharacterization of second type foliations and generalized curve foliations as well as a descriptionof theG SV-index in terms of polar curves. We also interpret the proofs concerning the Poincaréproblem with polar invariants.

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© 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/

Excepto si se señala otra cosa, la licencia del ítem se describe como © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/