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

Voir la notice de l'article provenant de la source Cambridge University Press

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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