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Topological and geometric hyperbolicity criteria for polynomial automorphisms of 
${\mathbb {C}^2}$
Part of:
Complex dynamical systems
Published online by Cambridge University Press: 04 May 2021
Abstract
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We prove that uniform hyperbolicity is invariant under topological conjugacy for dissipative polynomial automorphisms of
$\mathbb {C}^2$
. Along the way we also show that a sufficient condition for hyperbolicity is that local stable and unstable manifolds of saddle points have uniform geometry.
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