A Wong-Rosay type theorem for proper holomorphic self-maps

Emmanuel Opshtein

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arXiv · 0809.3335

A Wong-Rosay type theorem for proper holomorphic self-maps

Emmanuel Opshtein

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Abstract

We show that the only proper-holomorphic self-maps of bounded domains in C^k whose dynamics escape to a strictly pseudoconvex point of the boundary are automorphisms of the euclidean ball. This is a Wong-Rosay type result for a sequence of maps whose degrees are a priori unbounded.

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Emmanuel Opshtein. 2008-09-19. A Wong-Rosay type theorem for proper holomorphic self-maps. https://arxiv.org/abs/0809.3335

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