Abstract
We introduce a natural complex manifold structure of the Teichmüller space T(R) of a closed Riemann surface R of genus g (≧ 2), which is realized as a bounded domain in C3g-3. Furthermore, we prove that the Teichmüller modular group Mod(R) acts properly discontinuously as a group of biholomorphic automorphisms of T(R).
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© 1992 Springer-Verlag Tokyo
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Imayoshi, Y., Taniguchi, M. (1992). Complex Analytic Theory of Teichmüller Spaces. In: An Introduction to Teichmüller Spaces. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68174-8_6
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DOI: https://doi.org/10.1007/978-4-431-68174-8_6
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-68176-2
Online ISBN: 978-4-431-68174-8
eBook Packages: Springer Book Archive