Proper holomorphic self-maps of symmetric powers of balls

Proper holomorphic self-maps of symmetric powers of balls

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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Veröffentlicht in:Archiv der Mathematik 2018, Vol.110 (1), p.45-52
Hauptverfasser: Chakrabarti, Debraj, Grow, Christopher
Format: Artikel
Sprache:eng
Schlagworte:
Automorphisms
Mathematical analysis
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-017-1091-7