The asymptotic behavior of green’s functions for quasi-hyperbolic metrics on degenerating Riemann surfaces
The asymptotic behavior of green’s functions for quasi-hyperbolic metrics on degenerating Riemann surfaces
复制标题
退化黎曼曲面上拟双曲度量的格林函数的渐近行为
DOI：
10.1007/bf02677486
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发表时间：
1997
影响因子：
0.6
通讯作者：
L. Weng
中科院分区：
文献类型：
--
作者：
W. To;L. Weng
本文考虑一族紧致Q>；_2黎曼曲面退化为具有非分离结点的Q-1亏格黎曼曲面。我们证明了与这种退化黎曼曲面上的一族连续的拟双曲度量族相关的格林函数简单地退化到结点黎曼曲面的光滑部分上的格林函数。
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.