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References
J. S. Birman -H. M. Hilden,On isotopies of homeomorphisms of Riemann surfaces, Ann. Math., 97 (1973), pp. 424–39.
J. S. Birman -H. M. Hilden,On the mapping class group of closed surfaces as covering spaces, Ann. Math. Studies., No.66, Princeton (1971), pp. 53–79.
A. Duma -W. Radtke,Automorphismen und Modulraum galoisscher dreiblätriger Überlagerungen, Manuscripta Math.,50 (1985), pp. 215–228.
H. M. Farkas -I. Kra,Riemann surfaces, Graduate Texts in Mathematics,71, Springer, Berlin (1980).
G. González-Diez,Loci of curves which are prime Galois coverings of P 1, Proc. London Math. Soc., (3),62 (1991), pp. 469–489.
G. González-Diez -W. J. Harvey,Moduli of Riemann surfaces with Symmetry, Discrete Groups and Geometry, London Math. Soc., L.N. Series,173 (1992), pp. 75–94.
H. Grauert -R. Remmert,Coherent analytic Sheaves, Grundlehren der Math. Wissensch.,265, Springer, Berlin (1980).
I. Guerrero,Holomorphic families of compact Riemann surfaces with automorphisms, Illinois J. Maths.,26 (1982), pp. 212–25.
W. J. Harvey,On branch loci in Teichmüller space, Trans. Amer. Math. Soc.,153 (1971), pp. 387–99.
C.Hermite,Sur un example de réduction d'intégrales abéliennes, aux fonction elliptiques, Ann. Soc. Sci. Bruxelles, 1re. année (1876), pp. 1–16.
G. A.Jones - D.Singeeman,Complex Functions, Cambridge University Press (1987).
S.Kravetz,On the geometry of Teichmüller spaces and the structure of their modular groups, Ann. Acd. Sci. Fenn. (1959), pp. 1–35.
A. Krazer,Lehrbuch der Thetafunktionen, Chelsea, New York, (1970).
E. K. Lloyd,Riemann Surface transformation groups, J. Combin. Theory A,13 (1972), pp. 17–27.
C. Maclachlan -W. J. Harvey,On mapping-class groups and Teichmüller spaces, Proc. London Math. Soc. (3),30 (1975), pp. 496–512.
S. Nag,The Complex Analytic Theory of Teichmüller Spaces, Wiley-Interscience, New York (1988).
M. S. Narasimhan et al, Riemann Surfaces, Tata Institute, Bombay (1963).
H. E. Rauch,Theta Constants on a Riemann Surface with Many Automorphisms, Symposia Mathematica. Vol. III, Instituto Nazionale di Alta Matematica, Academic Press, New York (1970).
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Research supported by a grant of the CICYT, M.E.C., Spain.
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González-Diez, G. On prime galois coverings of the Riemann sphere. Annali di Matematica pura ed applicata 168, 1–15 (1995). https://doi.org/10.1007/BF01759251
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DOI: https://doi.org/10.1007/BF01759251