2017/08/09 by Winkelmann, Joerg
#32M17 #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.1708.02802
For discrete subsets in \bf Cn the notion of being "tame" was defined by Rosay and Rudin. We propose a general definition of "tameness" for arbitrary complex manifolds and show that many results classically known for \bf Cn may be generalized to semisimple complex Lie groups. For example, every permutation of SL(2,\bf Z) extends to a biholomorphic self-map of SL(2,\bf C.