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

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

2008-09-19

arxiv.org/abs/0809.3335v1

Mathematics

Complex Variables

Scientific paper

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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