Proceedings of the Japan Academy, Series A, Mathematical Sciences

Automorphism groups of real algebraic curves of genus $3$

Emilio Bujalance, José Javier Etayo, and José Manuel Gamboa

Full-text: Open access

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 62, Number 1 (1986), 40-42.

Dates
First available in Project Euclid: 19 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195514498

Digital Object Identifier
doi:10.3792/pjaa.62.40

Mathematical Reviews number (MathSciNet)
MR839803

Zentralblatt MATH identifier
0594.14019

Subjects
Primary: 30F35: Fuchsian groups and automorphic functions [See also 11Fxx, 20H10, 22E40, 32Gxx, 32Nxx]
Secondary: 14G30

Citation

Bujalance, Emilio; Etayo, José Javier; Gamboa, José Manuel. Automorphism groups of real algebraic curves of genus $3$. Proc. Japan Acad. Ser. A Math. Sci. 62 (1986), no. 1, 40--42. doi:10.3792/pjaa.62.40. https://projecteuclid.org/euclid.pja/1195514498


Export citation

References

  • [1] Ailing, N. L. and Greenleaf, N.: Foundations of the theory of Klein surfaces. Lect. Notes in Math., vol. 219, Springer (1971).
  • [2] Bujalance, E., Etayo, J. J., and Gamboa, J. M.: Superficies de Klein elipticas-hiperelipticas. Mem. R. Acad. Ci. (to appear).
  • [3] Bujalance, E., Etayo, J. J., and Gamboa, J. M.: Groups of automorphisms of hyperelliptic Klein surfaces of genus three. Michigan Math. J., vol. 33 (1986).
  • [4] Bujalance, E. Gamboa, J. M.: Automorphism groups of algebraic curves of Rn of genus two. Arch. Math., 42, 229-237 (1984).
  • [5] Coxeter, H. S. M. and Moser, W. O. J.: Generators and relations for discrete groups. Ergeb. der Math., vol. 14, Springer (4th ed., 1980).
  • [6] Macbeath, A. M.: The classification of non-Euclidean plane crystallographic groups. Canad. J. Math., 19, 1192-1205 (1967).
  • [7] May, C. L.: Automorphisms of compact Klein surfaces with boundary. Pacific J. Math., 59, 199-210 (1975).
  • [8] Preston, R.: Projective structures and fundamental domains on compact Klein surfaces. Ph. D. thesis, Univ. of Texas (1975).