Abstract

Let S be a compact Klein surface together with a di-analytic involution  : S ! S. The lowest uniformizations of S are those whose deck group is an extended-Schottky group, that is, an extended Kleinian group whose orientation preserving half is a Schottky group. If S is a bordered compact Klein surface, then it is well known that  can be lifted with respect to a suitable extended-Schottky uniformization of S. In this paper, we complete the above lifting property by proving that if S is a closed Klein surface, then  can also be lifted to a suitable extended-Schottky uniformization.

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