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On augmented Schottky spaces and automorphic forms, I

Published online by Cambridge University Press:  22 January 2016

Hiroki Sato
Hiroki Sato*
Affiliation:
Department of Mathematics, Shizuoka University
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With respect to Teichmüller spaces, many beautiful results are obtained by TeichmüUer, Ahlfors, Bers, Maskit, Kra, Earle, Abikoff, and others. For example, the boundary consists of b-groups, and the augmented Teichmüller space is defined by attaching a part of the boundary to the Teichmüller space. By using the augmented Teichmüller space, a compactification of the moduli space of Riemann surfaces is accomplished (cf. Abikoff [1], Bers [2]).

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 75 , September 1979, pp. 151 - 175
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1979

References

[1] Abikoff, W., Degenerating families of Riemann surfaces, Ann. of Math. 105 (1977), 29–44.Google Scholar
[2] Bers, L., Spaces of degenerating Riemann surfaces, Ann. of Math. Studies, 79 (1974), 43–55.Google Scholar
[3] Bers, L., Automorphic forms for Schottky groups, Advances in Math. 16 (1975), 332–361.Google Scholar
[4] Chuckrow, V., On Schottky groups with applications to Kleinian groups, Ann. of Math. 88 (1968), 47–61.Google Scholar
[5] Marden, A., Schottky groups and circles, Contributions to Analysis, Academic Press, New York, 1974, 273–278.Google Scholar
[6] Maskit, B., A characterization of Schottky groups, J. Analyse Math. 19 (1967), 227–230.CrossRefGoogle Scholar
[7] Sato, H., On boundaries of Schottky spaces, Nagoya Math. J. 62 (1976), 97–124.Google Scholar
[8] Sato, H., On augmented Schottky spaces and automorphic forms, II, to appear.CrossRefGoogle Scholar
[9] Zarrow, R., Classical and non-classical Schottky groups, Duke Math. J. 42 (1975), 717–724.Google Scholar