Some family of center manifolds of a fixed indeterminate point

Kodai Mathematical Journal

Tomoko Shinohara¹ 

[1] Tokyo Metropolitan College of Industrial Technology

关键词: complex dynamics;    indeterminate point;   

DOI  :  10.2996/kmj/1404393897

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(14)In this article, we study the local dynamical structure of a rational mapping F of P2 at a fixed indeterminate point p. In the previous paper, using a sequence of points which is defined by blow-ups, we have constructed an invariant family of holomorphic curves at p. In this paper, using the same sequence of points, we approximate a set of points whose forward orbits stay in a neighborhood of p. Moreover, for a specific rational mapping we construct a family {Wj}j ∈ {1,2}N of center manifolds of p. The main result of this paper is to give the asymptotic expansion of the defining function of Wj.

【 授权许可】

Unknown