Groups of Germs of Analytic Diffeomorphisms in (C2, 0)

被引:0
|
作者
Fabio Enrique Brochero Martínez
机构
[1] Instituto de Matemática Pura e Aplicada,
[2] IMPA,undefined
关键词
Mattei–Moussu topological criteria; dicritic diffeomorphism; flower theorem; convergent orbits; semiformal conjugation;
D O I
暂无
中图分类号
学科分类号
摘要
Let G be a group of germs of analytic diffeomorphisms in (C2, 0). We find some remarkable properties supposing that G is finite, linearizable, abelian, nilpotent, and solvable. In particular, if the group is abelian and has a generic dicritic diffeomorphisms, then the group is a subgroup of a 1-parametric group. In addition, we study the topological behavior of the orbits of a dicritic diffeomorphisms. Last, we find some invariants in order to know when two diffeomorphisms are formally conjugate.
引用
收藏
页码:1 / 32
页数:31
相关论文
共 50 条