Polar curves of a singular foliation

被引：2

作者：

Corral, N ^{[1
]}

机构：

[1] Fac Ciencias, Dept Algebra Geomet & Topol, Valladolid 47005, Spain

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2000年 / 331卷 / 01期

关键词：

D O I：

10.1016/S0764-4442(00)00515-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a decomposition into bunches of branches of a generic polar curve of a singular foliation F depending only on the topology of its separatrices, under the assumption that F has not saddle-nodes in the desingularization and its logarithmic model is not resonant. We generalize the results known for the curves with one or several branches and some foliations with only one separatrix. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

引用

页码：51 / 54

页数：4

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