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Deformation of Compact Riemann Surfaces with Distinguished Points

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Complex Analysis

Part of the book series: Aspects of Mathematics ((ASMA,volume 1))

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Abstract

We show that the family of the universal coverings of the fibers of a real analytic family \(\pi :X \to B \subset C^A \) of punctured compact Riemann surfaces is, locally w.r.t. B, bianalytically and on the fibers holomorphically a cartesian product.

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References

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© 1991 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Dethloff, G. (1991). Deformation of Compact Riemann Surfaces with Distinguished Points. In: Diederich, K. (eds) Complex Analysis. Aspects of Mathematics, vol 1. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-86856-5_17

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  • DOI: https://doi.org/10.1007/978-3-322-86856-5_17

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-322-86858-9

  • Online ISBN: 978-3-322-86856-5

  • eBook Packages: Springer Book Archive

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