Local polar invariants for plane singular foliations

被引：9

作者：

Cano, Felipe ^{[1
]}

Corral, Nuria ^{[2
]}

Mol, Rogerio ^{[3
]}

机构：

[1] Univ Valladolid, Dept Algebra Anal Matemat Geometria & Topol, Paseo Belen 7, E-47011 Valladolid, Spain

[2] Univ Cantabria, Dept Matemat Estadist & Compt, Avda de los Castros S-N, E-39005 Santander, Spain

[3] Univ Fed Minas Gerais, Dept Matemat, Av Antonio Carlos 6627,CP 702, BR-30123970 Belo Horizonte, MG, Brazil

来源：

EXPOSITIONES MATHEMATICAE | 2019年 / 37卷 / 02期

关键词：

Holomorphic foliation; Polar curves; Invariant curves; HOLOMORPHIC FOLIATIONS; CURVES; HYPERSURFACE; INDEX;

D O I：

10.1016/j.exmath.2018.01.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this survey paper, we take the viewpoint of polar invariants to the local and global study of non-dicritical holomorphic foliation 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 Poincare problem with polar invariants. (C) 2018 Elsevier GmbH. All rights reserved.

引用

页码：145 / 164

页数：20

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