Download PDF - Automorphisms of Riemann surfaces with two fixed pointsAll rights reserved. Copyright exceptions and limitations apply

ArticleOriginal scientific text

Title

Automorphisms of Riemann surfaces with two fixed points

Authors 1

Affiliations

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

Abstract

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.

Bibliography

  1. [B-S] H. Behnke und F. Sommer, Theorie der analytischen Funktionen einer komplexen Veränderlichen, Springer, Berlin 1976.
  2. [F-K] H. M. Farkas and I. Kra, Riemann Surfaces, Graduate Texts in Math., Springer, New York 1980.
  3. [G] G. M. Goluzin, Geometric Theory of Functions of One Complex Variable, Gos. Izdat. Tekhn.-Teoret. Liter., Moscow 1952 (in Russian).
  4. [H] W. J. Harvey, Cyclic groups of automorphisms of a compact Riemann surface, Quart. J. Math. Oxford Ser. (2) 17 (1966), 86-97.
  5. [J-T] M. Jarnicki and P. Tworzewski, A note on holomorphic mappings with two fixed points, Ann. Polon. Math. 51 (1990), 179-182.
  6. [M] E. Minda, Fixed points of analytic self-mappings of Riemann surfaces, Manuscripta Math. 27 (1979), 391-399.
Annales Polonici Mathematici
1991/55/1
Export to PBN, Opens in new tab
Pages:
343-347
Main language of publication
English
Received
1990-09-10
Published
1991
Exact and natural sciences