Automorphisms of Riemann surfaces with two fixed points
Annales Polonici Mathematici (1991)
- Volume: 55, Issue: 1, page 343-347
- ISSN: 0066-2216
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topTomasz Szemberg. "Automorphisms of Riemann surfaces with two fixed points." Annales Polonici Mathematici 55.1 (1991): 343-347. <http://eudml.org/doc/262244>.
@article{TomaszSzemberg1991,
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.},
author = {Tomasz Szemberg},
journal = {Annales Polonici Mathematici},
keywords = {Riemann-Hurwitz formula},
language = {eng},
number = {1},
pages = {343-347},
title = {Automorphisms of Riemann surfaces with two fixed points},
url = {http://eudml.org/doc/262244},
volume = {55},
year = {1991},
}
TY - JOUR
AU - Tomasz Szemberg
TI - Automorphisms of Riemann surfaces with two fixed points
JO - Annales Polonici Mathematici
PY - 1991
VL - 55
IS - 1
SP - 343
EP - 347
AB - 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.
LA - eng
KW - Riemann-Hurwitz formula
UR - http://eudml.org/doc/262244
ER -
References
top- [B-S] H. Behnke und F. Sommer, Theorie der analytischen Funktionen einer komplexen Veränderlichen, Springer, Berlin 1976. Zbl0324.30001
- [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). Zbl0049.05902
- [H] W. J. Harvey, Cyclic groups of automorphisms of a compact Riemann surface, Quart. J. Math. Oxford Ser. (2) 17 (1966), 86-97. Zbl0156.08901
- [J-T] M. Jarnicki and P. Tworzewski, A note on holomorphic mappings with two fixed points, Ann. Polon. Math. 51 (1990), 179-182. Zbl0723.30039
- [M] E. Minda, Fixed points of analytic self-mappings of Riemann surfaces, Manuscripta Math. 27 (1979), 391-399. Zbl0405.30035
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