A+ CATEGORY SCIENTIFIC UNIT

Uniformity of holomorphic families of non-homeomorphic planar Riemann surfaces

Volume 111 / 2014

Sachiko Hamano 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 $O_{\rm AD}$.

Authors

  • Sachiko HamanoDepartment of Mathematics
    Faculty of Human Development and Culture
    Fukushima University
    Kanayagawa, Fukushima, 960-1296 Japan
    e-mail

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