ANALYTIC NORMAL FORMS OF GERMS OF HOLOMORPHIC DICRITIC FOLIATIONS

被引：5

作者：

Ortiz-Bobadilla, L. ^{[1
]}

Rosales-Gonzalez, E. ^{[1
]}

Voronin, S. M. ^{[2
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Matemat, Area Invest Cient, Mexico City 04510, DF, Mexico

[2] Chelyabinsk State Univ, Dept Math, Chelyabinsk 454021, Russia

来源：

MOSCOW MATHEMATICAL JOURNAL | 2008年 / 8卷 / 03期

关键词：

Dicritic foliations; dicritic vector fields; normal forms; formal normal forms; analytic normal forms; formal equivalence; analytical equivalence;

D O I：

10.17323/1609-4514-2008-8-3-521-545

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the class V-n+1(d) of dicritic germs of holomorphic vector fields in (C-2, 0) with vanishing n-jet at the origin, n >= 1, and their generated foliations. Earlier we proved that under some genericity assumptions, the formal equivalence of two germs implies their analytic equivalence and formal normal forms of germs in V-n+1(d) were given. In this work we give analytic normal forms of generic germs of dicritic foliations of V-n+1(d).

引用

页码：521 / 545

页数：25

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