Abstract
In this paper we will give an analytic proof of the following finiteness theorem for holomorphic families of Riemann surfaces: FIniteness Theorem OF Families. Let B be a Riemann surface of finite type. Then, there are only finitely many non-isomorphic and locally non-trivial holomorphic families of Riemann surfaces of fixed finite type (g, n) with 2g — 2 + n > 0 over B.
Dedicated to Professor Tadashi Kuroda on his sixtieth birthday
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© 1988 Springer-Verlag New York Inc.
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Imayoshi, Y., Shiga, H. (1988). A finiteness theorem for holomorphic families of Riemann surfaces. In: Drasin, D., Earle, C.J., Gehring, F.W., Kra, I., Marden, A. (eds) Holomorphic Functions and Moduli II. Mathematical Sciences Research Institute Publications, vol 11. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9611-6_15
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DOI: https://doi.org/10.1007/978-1-4613-9611-6_15
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