Properly discontinuous actions on bounded domains

Details Properly discontinuous actions on bounded domains Properly discontinuous actions on bounded domains

2008-04-03

arxiv.org/abs/0804.0493v1

Mathematics

Complex Variables

Scientific paper

We give sufficient conditions for the quotient of a free, properly
discontinuous action on a bounded domain of holomorphy to be a Stein manifold
in terms of Poincar\'e series or limit sets for orbits. An immediate
consequence is that the quotient of any cyclic, free, properly discontinuous
action on the unit ball or the bidisc is Stein.

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