On automorphism groups of a curve as linear groups

Izumi KURIBAYASHI

doi:10.2969/jmsj/03910051

Izumi KURIBAYASHI

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JOURNAL FREE ACCESS

1987 Volume 39 Issue 1 Pages 51-77

DOI https://doi.org/10.2969/jmsj/03910051

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Published: 1987 Received: May 18, 1984 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) L. Bers, Uniformization by Beltrami equations, Comm. Pure Appl. Math., 14 (1961), 215-228.
2) L. Bers, Uniformization, moduli and Kleinian groups, Bull. London Math. Soc., 4 (1972), 257-300.
3) H. M. Farkas and I. Kra, Riemann surfaces, Springer, Berlin-Heidelberg-New York, 1980.
4) J. Gilman, On conjugacy classes in the Teichmüller modular group, Michigan Math. J., 23 (1976), 53-63.
5) I. Guerrero, Holomorphic families of compact Riemann surfaces with automorphisms, Illinois J. Math., 26 (1982), 212-225.
6) J. Harris and D. Mumford, On the Kodaira dimension of the moduli space of curves, Invent. Math., 67 (1982), 23-86.
7) W. J. Harvey, Cyclic groups of automorphisms of a compact Riemann surface, Quart. J. Math. Oxford (2), 17 (1966), 86-97.
8) W. J. Harvey, On branch loci in Teichmüller space, Trans. Amer. Math. Soc., 153 (1971), 387-399.
9) L. Keen, Canonical polygons for finitely generated Fuchsian groups, Acta Math., 115 (1966), 1-16.
10) J. Lehner, Discontinuous groups and automorphic functions, Amer. Math. Soc., 1964.
11) K. Lønsted, The singular points on the moduli spaces for smooth curves, Math. Ann., 266 (1984), 397-402.
12) A. M. Macbeath, The classification of non-Euclidean plane crystallographic groups, Canad. J. Math., 6 (1967), 1192-1205.
13) C. Maclachlan and W. J. Harvey, On mapping-class groups and Teichmüller spaces, Proc. London Math. Soc. (3), 30 (1975), 496-512.
14) K. Shih, On the construction of Galois extensions of function fields and number fields, Math. Ann., 207 (1974), 99-120.
15) H. Zieschang, Über Automorphismen ebener diskontinuierlicher Gruppen, Math. Ann., 166 (1966), 148-167.

Right : [1] L. Bers, Uniformization by Beltrami equations, Comm. Pure Appl. Math., 14 (1961), 215-228.
[2] L. Bers, Uniformization, moduli and Kleinian groups, Bull. London Math. Soc., 4 (1972), 257-300.
[3] H. M. Farkas and I. Kra, Riemann surfaces, Springer, Berlin-Heidelberg-New York, 1980.
[4] J. Gilman, On conjugacy classes in the Teichmüller modular group, Michigan Math. J., 23 (1976), 53-63.
[5] I. Guerrero, Holomorphic families of compact Riemann surfaces with automorphisms, Illinois J. Math., 26 (1982), 212-225.
[6] J. Harris and D. Mumford, On the Kodaira dimension of the moduli space of curves, Invent. Math., 67 (1982), 23-86.
[7] W. J. Harvey, Cyclic groups of automorphisms of a compact Riemann surface, Quart. J. Math. Oxford (2), 17 (1966), 86-97.
[8] W. J. Harvey, On branch loci in Teichmüller space, Trans. Amer. Math. Soc., 153 (1971), 387-399.
[9] L. Keen, Canonical polygons for finitely generated Fuchsian groups, Acta Math., 115 (1966), 1-16.
[10] J. Lehner, Discontinuous groups and automorphic functions, Amer. Math. Soc., 1964.
[11] K. Lønsted, The singular points on the moduli spaces for smooth curves, Math. Ann., 266 (1984), 397-402.
[12] A. M. Macbeath, The classification of non-Euclidean plane crystallographic groups, Canad. J. Math., 6 (1967), 1192-1205.
[13] C. Maclachlan and W. J. Harvey, On mapping-class groups and Teichmüller spaces, Proc. London Math. Soc. (3), 30 (1975), 496-512.
[14] K. Shih, On the construction of Galois extensions of function fields and number fields, Math. Ann., 207 (1974), 99-120.
[15] H. Zieschang, Über Automorphismen ebener diskontinuierlicher Gruppen, Math. Ann., 166 (1966), 148-167.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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