Local dynamical structure at an indeterminate point of rational mappings

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In this research, we consider a local dynamics at an indeterminate point of a rational mapping on the complex projective space P^n. In the case P^2, it has known that there exists some family of local stable manifolds of an indeterminate point. By using the blow up, we can construct a family of center manifolds or unstable manifolds. In the case P3, there has been no result of a local dynamics at an indeterminate point. We construct a new example of a rational mapping which has an invariant curves or surfaces at an indeterminate point.