On monodromies of holomorphic families of Riemann surfaces and modular transformations
On monodromies of holomorphic families of Riemann surfaces and modular transformations
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黎曼曲面全纯族单项性与模变换
DOI：
10.1017/s0305004197001825
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发表时间：
1997
影响因子：
0.8
通讯作者：
H. Shiga
中科院分区：
文献类型：
--
作者：
H. Shiga
A locally non-trivial holomorphic family of Riemann surfaces over a hyperbolic Riemann surface B determines a homomorphism (monodromy) of the fundamental group of B to the modular group. We give a necessary condition for a homomorphism to be a mondromy of a holomorphic family of Riemann surfaces. And we estimate the number of holomorphic families in terms of topological information for holomorphic families over Riemann surfaces of genus 0.
