Abstract
The purpose of the present paper is to study the space of compact continuations of an open Riemann surface of finite genus in connection with the Torelli space or the Siegel upper half space.
1980 Mathematics Subject Classification (1985 Revision). Primary 30Fxx, 30C70, 32G20; Secondary 14H15, 30C35, 32G15.
Part of this work was done during the author’s stay at University of Hannover, FRG. The author is very grateful to Professors H. Tietz, E. Mues, G. Schmieder (now at University of Würzburg) and other colleagues for their warm hospitality and stimulative seminars. He also thanks DAAD (Deutscher Akademischer Austauschdienst) for the financial support.
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Dedicated to Professor Tadashi Kuroda on his sixtieth birthday
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Shiba, M. (1988). The period matrices of compact continuations of an open Riemann surface of finite genus. In: Drasin, D., Kra, I., Earle, C.J., Marden, A., Gehring, F.W. (eds) Holomorphic Functions and Moduli I. Mathematical Sciences Research Institute Publications, vol 10. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9602-4_22
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DOI: https://doi.org/10.1007/978-1-4613-9602-4_22
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