Abstract
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$\in$ {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.
Citation
Tomoko Shinohara. "Some family of center manifolds of a fixed indeterminate point." Kodai Math. J. 37 (2) 434 - 452, June 2014. https://doi.org/10.2996/kmj/1404393897
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