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arXiv · 1508.06882

Local polar invariants for plane singular foliations

Felipe Cano·Nuria Corral·Rogério Mol
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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.

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Felipe Cano, Nuria Corral, Rogério Mol. 2015-08-27. Local polar invariants for plane singular foliations. https://arxiv.org/abs/1508.06882

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