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The period matrices of compact continuations of an open Riemann surface of finite genus

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Holomorphic Functions and Moduli I

Part of the book series: Mathematical Sciences Research Institute Publications ((MSRI,volume 10))

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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Author information

Authors and Affiliations

  1. Department of Mathematics, Hiroshima University, Hiroshima, Japan

    M. Shiba

Authors
  1. M. Shiba
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Purdue University, West Layfayete, IN, 47909, USA

    D. Drasin

  2. Department of Mathematics, State University of New York at Stony Brook, Stony Brook, NY, 11794, USA

    I. Kra

  3. Department of Mathematics, Cornell University, Ithaca, NY, 14853, USA

    C. J. Earle

  4. Department of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA

    A. Marden

  5. Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109, USA

    F. W. Gehring

Additional information

Dedicated to Professor Tadashi Kuroda on his sixtieth birthday

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© 1988 Springer-Verlag New York Inc.

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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

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9604-8

  • Online ISBN: 978-1-4613-9602-4

  • eBook Packages: Springer Book Archive

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