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Stable manifolds of holomorphic diffeomorphisms

Mattias Jonsson·Dror Varolin
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Abstract

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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Mattias Jonsson, Dror Varolin. 2002-03-18. Stable manifolds of holomorphic diffeomorphisms. https://doi.org/10.1007/s002220200220

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