Green's Functions for Quasi-Hyperbolic Metrics on Degenerating Riemann Surfaces with a Separating Node
To, W.-K. Weng, L.
Weng, L.
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Abstract
In this article, we consider a family of compact Riemann surfaces of genus q ≥ 2 degenerating to a Riemann surface with a separating node and many non-separating nodes. We obtain the asymptotic behavior of Green's functions associated to a continuous family of quasi-hyperbolic metrics on such degenerating Riemann surfaces.
Keywords
Degenerating Riemann surfaces, Green's functions, Quasi-hyperbolic metrics
Source Title
Annals of Global Analysis and Geometry
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Date
1999
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Article