Stable manifolds of holomorphic diffeomorphisms

Details Stable manifolds of holomorphic diffeomorphisms Stable manifolds of holomorphic diffeomorphisms

2001-01-29

arxiv.org/abs/math/0101240v2

Mathematics

Complex Variables

17 pages. Revised version. To appear in Inv. Math

Scientific paper

10.1007/s002220200220

We consider stable manifolds of a holomorphic diffeomorphism of a complex
manifold. Using a conjugation of the dynamics to a (non-stationary) polynomial
normal form, we show that typical stable manifolds are biholomorphic to complex
Euclidean space.

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