Proper holomorphic self-maps of symmetric powers of balls

Debraj Chakrabarti, Christopher Grow

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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.

Original languageEnglish
Pages (from-to)45-52
Number of pages8
JournalArchiv der Mathematik
Issue number1
StatePublished - Jan 1 2018


  • Proper holomorphic maps
  • Symmetric powers
  • Symmetrized polydisc


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