Uniformity of holomorphic families of non-homeomorphic planar Riemann surfaces
Volume 111 / 2014
Annales Polonici Mathematici 111 (2014), 165-181
MSC: Primary 32Q30; Secondary 32E10.
DOI: 10.4064/ap111-2-5
Abstract
We show the variation formula for the Schiffer span $s(t)$ for moving Riemann surfaces $R(t)$ with $t\in B=\{t\in \mathbb {C}\mid |t|<\rho \}$, and apply it to show the simultaneous uniformization of moving planar Riemann surfaces of class $O_{\rm AD}$.
