Author： Hidalgo R.A.
Publisher： Taylor & Francis Ltd
ISSN： 0278-1077
Source： Complex Variables, Vol.48, Iss.1, 2003-01, pp. : 43-62
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Abstract
In a work due to Aigon and Silhol (also Buser and Silhol) a construction of 10 genus two closed Riemann surfaces is done from a given right angled hyperbolic pentagon. In this note we construct real Schottky groups uniformizations of the corresponding constructions. In particular, we are able to write down the algebraic curves obtained in the above work in terms of the parameters of the real Schottky group. We generalize such a construction for any right angled hyperbolic polygon and also consider an example for a nonright angled pentagon in the last section.
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