Lifting di-analytic involutions of compact Klein surfaces to extended-Schottky uniformizations

Rubén A. Hidalgo. "Lifting di-analytic involutions of compact Klein surfaces to extended-Schottky uniformizations." Fundamenta Mathematicae 214.2 (2011): 161-180. <http://eudml.org/doc/283310>.

@article{RubénA2011,
abstract = {Let S be a compact Klein surface together with a di-analytic involution κ: 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 κ 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 κ can also be lifted to a suitable extended-Schottky uniformization.},
author = {Rubén A. Hidalgo},
journal = {Fundamenta Mathematicae},
keywords = {Riemann surfaces; Klein surfaces; Schottky groups},
language = {eng},
number = {2},
pages = {161-180},
title = {Lifting di-analytic involutions of compact Klein surfaces to extended-Schottky uniformizations},
url = {http://eudml.org/doc/283310},
volume = {214},
year = {2011},
}

TY - JOUR
AU - Rubén A. Hidalgo
TI - Lifting di-analytic involutions of compact Klein surfaces to extended-Schottky uniformizations
JO - Fundamenta Mathematicae
PY - 2011
VL - 214
IS - 2
SP - 161
EP - 180
AB - Let S be a compact Klein surface together with a di-analytic involution κ: 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 κ 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 κ can also be lifted to a suitable extended-Schottky uniformization.
LA - eng
KW - Riemann surfaces; Klein surfaces; Schottky groups
UR - http://eudml.org/doc/283310
ER -