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arxiv: 1706.08195 · v1 · pith:2ESO3H64new · submitted 2017-06-26 · 🧮 math.CV

Proper holomorphic self-maps of symmetric powers of balls

classification 🧮 math.CV
keywords ballautomorphismholomorphicpropersymmetricunitballsdimension
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We show that each proper holomorphic self map of a symmetric power of the unit ball is an automorphism naturally induced by an automorphism of the unit ball, provided the ball is of dimension at least two.

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