Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/104252
Title: The asymptotic behavior of Green's functions for quasi-hyperbolic metrics on degenerating Riemann surfaces
Authors: To, W.-K. 
Weng, L. 
Issue Date: Aug-1997
Citation: To, W.-K.,Weng, L. (1997-08). The asymptotic behavior of Green's functions for quasi-hyperbolic metrics on degenerating Riemann surfaces. Manuscripta Mathematica 93 (4) : 465-480. ScholarBank@NUS Repository.
Abstract: In this article, we consider a family of compact Riemann surfaces of genus q ≥ 2 degenerating to a Riemann surface of genus q-1 with a non-separating node. We show that the Green's functions associated to a continuous family of quasi-hyperbolic metrics on such degenerating Riemann surfaces simply degenerate to that on the smooth part of the noded Riemann surface.
Source Title: Manuscripta Mathematica
URI: http://scholarbank.nus.edu.sg/handle/10635/104252
ISSN: 00252611
Appears in Collections:Staff Publications

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