DIFFERENTIABLE EQUISINGULARITY OF HOLOMORPHIC FOLIATIONS

被引：3
|
作者：
Mol, Rogerio [1 ]
Rosas, Rudy [2 ]
机构：
[1] Univ Fed Minas Gerais, Dept Matemat, Av Antonio Carlos 6627,CP 702, BR-30123970 Belo Horizonte, MG, Brazil
[2] Pontificia Univ Catolica Peru, Av Univ 1801, Lima, Peru
来源：
JOURNAL OF SINGULARITIES | 2019年 / 19卷
关键词：
Holomorphic foliations; vector fields; invariant curves; equidesingularization; LOCAL POLAR INVARIANTS; ALGEBRAIC MULTIPLICITY;
D O I：
10.5427/jsing.2019.19f
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that a C(infinity)equivalence between germs of holomorphic foliations at (C-2, 0) establishes a bijection between the sets of formal separatrices preserving equisingularity classes. As a consequence, if one of the foliations is of second type, so is the other and they are equisingular.
引用
收藏
页码：76 / 96
页数：21
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