Fuchsian groups generated by half-turns and geometrical characterization of hyperelliptic and symmetric Riemann surfaces

Mathematica Scandinavica

Volumn 95, Issue 2, 2004, Pages 226-244

  Etayo, J J ^a   Martinez E ^b  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^b UNIVERSIDAD NACIONAL DE EDUCACIÓN A DISTANCIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 11444252935     PISSN: 00255521     EISSN: None     Source Type: Journal    
DOI: 10.7146/math.scand.a-14457     Document Type: Article

References (11)

1. Bujalance, E., Etayo, J. J., Characterization of q-Hyperelliptic compact planar Klein surfaces, Abh. Math. Sem. Univ. Hamburg 58 (1988), 95-104.
2. Bujalance, E., Etayo, J. J., Gamboa, J. M., Hyperelliptic Klein surfaces, Quart. J. Math. Oxford (2) 36 (1985), 141-157.
3. Bujalance, E., Etayo, J. J., Gamboa, J. M., Superficies de Klein elípticas hiperelípticas, Memorias de la Real Academia de Ciencias, Tomo XIX (1985).
4. Bujalance, E., Singerman, D., The symmetry type of a Riemann surface, Proc. London Math. Soc. (3) 51 (1985), 501-519.
5. Bujalance, J. A., Hyperelliptic compact non-orientable Klein surfaces without boundary, Kodai Math. J. 12 (1989), 1-8.
6. Maskit, B., A New Characterization of Hyperellipticity, Michigan Math. J. 47 (2000), 3-14.
7. Macbeath, A. M., The classification of non-euclidean crystallographic groups, Canad. J. Math. 19 (1967), 1192-1205.
8. Schmutz Schaller, P., Geometric characterization of hyperelliptic Riemann surfaces, Ann. Acad. Sci. Fenn. Math. 25 (2000), 85-90.
9. Singerman, D., On the structure of non-euclidean crystallographic groups, Proc. Cambridge Philos. Soc. 76 (1974), 233-240.
10. Wilkie, H. C., On non-Euclidean crystallographic groups, Math. Z. 91 (1966), 87-102.
11. Wiman, A., Über die hyperelliptischen Kurven und diejenigen vom Geschlecht p = 3, welche eindeutigen Transformationen in sich zulassen, Bihang Till. Kongl. Svenska Vetenskaps-Akademiens Handlingar 21,1 n.1 (1895), 23 pp.