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|Title:||The asymptotic behavior of Green's functions for quasi-hyperbolic metrics on degenerating Riemann surfaces|
|Authors:||To, W.-K. |
|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|
|Appears in Collections:||Staff Publications|
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