@article{8f9cd761df384ce7bd91dcc2991f149b,
title = "Proper holomorphic self-maps of symmetric powers of balls",
abstract = "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.",
keywords = "Proper holomorphic maps, Symmetric powers, Symmetrized polydisc",
author = "Debraj Chakrabarti and Christopher Grow",
note = "Funding Information: Debraj Chakrabarti was partially supported by a Grant from the National Science Foundation (#1600371), a collaboration Grant from the Simons Foundation (# 316632), and an Early Career internal Grant from Central Michigan University. Christopher Grow was partially supported by a Research Assistantship from the Central Michigan University mathematics department. Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG.",
year = "2018",
month = jan,
day = "1",
doi = "10.1007/s00013-017-1091-7",
language = "English",
volume = "110",
pages = "45--52",
journal = "Archiv der Mathematik",
issn = "0003-889X",
publisher = "ARCHIV DER MATHEMATIK",
number = "1",
}