@article{10902/34948, year = {2019}, month = {6}, url = {https://hdl.handle.net/10902/34948}, 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.}, organization = {The first and second author were supported by the Ministerio de Economía y Competitividad MTM2016-77642-C2-1-P and the third author was supported by CAPES, FAPEMIG, Pronex/FAPERJ and Universal/CNPq.}, publisher = {Elsevier}, publisher = {Expositiones Mathematicae, 2019, 37(2), 145-164}, title = {Local polar invariants for plane singular foliations}, author = {Cano, Felipe and Corral Pérez, Nuria and Mol, Rogério}, }