Local polar invariants for plane singular foliations
Dynamical Systems
2015-08-28 v1
Abstract
In this survey paper, we take the viewpoint of polar invariants to the local and global study of non-dicritical holomorphic foliations in dimension two and their invariant curves. It appears a characterization of second type foliations and generalized curve foliations as well as a description of the GSV-index in terms of polar curves. We also interpret the proofs concerning the Poincar\'e problem with polar invariants.
Keywords
Cite
@article{arxiv.1508.06882,
title = {Local polar invariants for plane singular foliations},
author = {Felipe Cano and Nuria Corral and Rogério Mol},
journal= {arXiv preprint arXiv:1508.06882},
year = {2015}
}