双参数扰动下有理函数的线性化

Linearization of Rational Functions with Two-parameter Perturbation

利用多复变函数理论和Geyer的思想,通过对有理函数进行适当的双参数扰动,给出Douady猜想成立的一个充分条件.

In this paper, a sufficient condition for Douady conjecture is proposed via a perturbation of two-parameters on rational functions, which is based on complex analysis of several variables and idea of Geyer.