Uniformity of holomorphic families of non-homeomorphic planar Riemann surfaces

Sachiko Hamano

Annales Polonici Mathematici (2014)

  • Volume: 111, Issue: 2, page 165-181
  • ISSN: 0066-2216

Abstract

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We show the variation formula for the Schiffer span s(t) for moving Riemann surfaces R(t) with t B = t | | t | < ρ , and apply it to show the simultaneous uniformization of moving planar Riemann surfaces of class O A D .

How to cite

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Sachiko Hamano. "Uniformity of holomorphic families of non-homeomorphic planar Riemann surfaces." Annales Polonici Mathematici 111.2 (2014): 165-181. <http://eudml.org/doc/280587>.

@article{SachikoHamano2014,
abstract = {We show the variation formula for the Schiffer span s(t) for moving Riemann surfaces R(t) with $t∈ B=\{t∈ ℂ | |t|<ρ\}$, and apply it to show the simultaneous uniformization of moving planar Riemann surfaces of class $O_\{AD\}$.},
author = {Sachiko Hamano},
journal = {Annales Polonici Mathematici},
keywords = {uniformization; Stein manifold; Schiffer span; Riemann surface},
language = {eng},
number = {2},
pages = {165-181},
title = {Uniformity of holomorphic families of non-homeomorphic planar Riemann surfaces},
url = {http://eudml.org/doc/280587},
volume = {111},
year = {2014},
}

TY - JOUR
AU - Sachiko Hamano
TI - Uniformity of holomorphic families of non-homeomorphic planar Riemann surfaces
JO - Annales Polonici Mathematici
PY - 2014
VL - 111
IS - 2
SP - 165
EP - 181
AB - We show the variation formula for the Schiffer span s(t) for moving Riemann surfaces R(t) with $t∈ B={t∈ ℂ | |t|<ρ}$, and apply it to show the simultaneous uniformization of moving planar Riemann surfaces of class $O_{AD}$.
LA - eng
KW - uniformization; Stein manifold; Schiffer span; Riemann surface
UR - http://eudml.org/doc/280587
ER -

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