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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
Fuente: Expositiones Mathematicae Vol.37, N.2 (2019)
Publisher: Elsevier
Publication date: 01/06/2019
No. of pages: 20
Publication type: Article
DOI: 10.1016/j.exmath.2018.01.003
ISSN: 0723-0869,1878-0792
Spanish project: MTM2016-77642-C2-1-P
Publication Url: https://doi.org/10.1016/j.exmath.2018.01.003
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CANO, FELIPE
NURIA CORRAL PEREZ
MOL. ROGÉRIO
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