Automorphisms of Riemann surfaces with two fixed points

• Autorzy: Tomasz Szemberg
• Języki publikacji: EN

Abstrakty

EN

We give an upper bound for the order of an automorphism of a Riemann surface with two fixed points. The main results are presented in Theorems 1.4 and 2.4.

Kategorie tematyczne

• 30F35: Fuchsian groups and automorphic functions
• 14H30: Coverings, fundamental group

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991
• Tom: 55
• Numer: 1
• Strony: 343-347

Daty

wydano

1991

otrzymano

1990-09-10

Twórcy

autor

Tomasz Szemberg

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Bibliografia

• [B-S] H. Behnke und F. Sommer, Theorie der analytischen Funktionen einer komplexen Veränderlichen, Springer, Berlin 1976.
• [F-K] H. M. Farkas and I. Kra, Riemann Surfaces, Graduate Texts in Math., Springer, New York 1980.
• [G] G. M. Goluzin, Geometric Theory of Functions of One Complex Variable, Gos. Izdat. Tekhn.-Teoret. Liter., Moscow 1952 (in Russian).
• [H] W. J. Harvey, Cyclic groups of automorphisms of a compact Riemann surface, Quart. J. Math. Oxford Ser. (2) 17 (1966), 86-97.
• [J-T] M. Jarnicki and P. Tworzewski, A note on holomorphic mappings with two fixed points, Ann. Polon. Math. 51 (1990), 179-182.
• [M] E. Minda, Fixed points of analytic self-mappings of Riemann surfaces, Manuscripta Math. 27 (1979), 391-399.