Geodesic
ON FIXED POINTS OF DOUBLY SYMMETRIC RIEMANN SURFACES
Glasgow mathematical journal, Tome 50 (2008) no. 3, pp. 371-378

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DOI

In this paper, we study ovals of symmetries and the fixed points of their products on Riemann surfaces of genus g ≥ 2. We show how the number of these points affects the total number of ovals of symmetries. We give a generalisation of Bujalance, Costa and Singerman's theorems in which we show upper bounds for the total number of ovals of two symmetries in terms of g, the order n and the number m of the fixed points of their product, and we show their attainments for n holding some divisibility conditions. Finally, we give an upper bound for m in terms of n and g, and we study conditions under which it has given parity.
DOI : 10.1017/S0017089508004278
Mots-clés : Primary 30F, Secondary 14H 
GROMADZKI, GRZEGORZ; KOZŁOWSKA-WALANIA, EWA. ON FIXED POINTS OF DOUBLY SYMMETRIC RIEMANN SURFACES. Glasgow mathematical journal, Tome 50 (2008) no. 3, pp. 371-378. doi: 10.1017/S0017089508004278
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     title = {ON {FIXED} {POINTS} {OF} {DOUBLY} {SYMMETRIC} {RIEMANN} {SURFACES}},
     journal = {Glasgow mathematical journal},
     pages = {371--378},
     year = {2008},
     volume = {50},
     number = {3},
     doi = {10.1017/S0017089508004278},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004278/}
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