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Geometric Orbital Linearization of Siegel Singularities in the Plane

Scárdua, Toshikazu Ito \and Bruno
arXiv (OAI Expanded) · Papers
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complex-variablesdynamical-systems
We give geometric characterizations of analytically linearizable nondegenerate Siegel foliations in $\C^2$ using complex tangencies with shrinking strictly pseudoconvex hypersurfaces. Our principal result treats a fixed bounded smoothly bounded strictly pseudoconvex Reinhardt domain: in coordinates
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