Uniformity of holomorphic families of non-homeomorphic planar Riemann surfaces
Sachiko Hamano
Annales Polonici Mathematici, Tome 111 (2014), p. 165-181 / Harvested from The Polish Digital Mathematics Library
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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∈ℂ||t|<ρ, and apply it to show the simultaneous uniformization of moving planar Riemann surfaces of class OAD.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:280587 
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     title = {Uniformity of holomorphic families of non-homeomorphic planar Riemann surfaces},
     journal = {Annales Polonici Mathematici},
     volume = {111},
     year = {2014},
     pages = {165-181},
     zbl = {1300.32026},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap111-2-5}
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Sachiko Hamano. Uniformity of holomorphic families of non-homeomorphic planar Riemann surfaces. Annales Polonici Mathematici, Tome 111 (2014) pp. 165-181. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap111-2-5/